275381956362240 has 5760 divisors, whose sum is σ = 1317360483532800. Its totient is φ = 54611115245568.

The previous prime is 275381956362193. The next prime is 275381956362277. The reversal of 275381956362240 is 42263659183572.

275381956362240 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 8 + 1 + 9 + 563 + 6 + 22 + 40 = 666.

275381956362240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×275381956362240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2168361861057 + ... + 2168361861183.

It is an arithmetic number, because the mean of its divisors is an integer number (228708417280).

It is a 2-persistent number, because it is pandigital, and so is 2⋅275381956362240 = 550763912724480, but 3⋅275381956362240 = 826145869086720 is not.

Almost surely, 2^{275381956362240} is an apocalyptic number.

275381956362240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 275381956362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658680241766400).

275381956362240 is an abundant number, since it is smaller than the sum of its proper divisors (1041978527170560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

275381956362240 is an equidigital number, since it uses as much as digits as its factorization.

275381956362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 275381956362240 in words is "two hundred seventy-five trillion, three hundred eighty-one billion, nine hundred fifty-six million, three hundred sixty-two thousand, two hundred forty".