275397533245440 has 1344 divisors, whose sum is σ = 1042802105619456. Its totient is φ = 69583629975552.

The previous prime is 275397533245381. The next prime is 275397533245441. The reversal of 275397533245440 is 44542335793572.

275397533245440 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 9 + 7 + 53 + 32 + 4 + 544 + 0 = 666.

It is a super-3 number, since 3×275397533245440³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (275397533245441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24495016459 + ... + 24495027701.

It is an arithmetic number, because the mean of its divisors is an integer number (775894423824).

Almost surely, 2^{275397533245440} is an apocalyptic number.

275397533245440 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 275397533245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521401052809728).

275397533245440 is an abundant number, since it is smaller than the sum of its proper divisors (767404572374016).

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

275397533245440 is a wasteful number, since it uses less digits than its factorization.

275397533245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11419 (or 11383 counting only the distinct ones).

The product of its (nonzero) digits is 381024000, while the sum is 63.

The spelling of 275397533245440 in words is "two hundred seventy-five trillion, three hundred ninety-seven billion, five hundred thirty-three million, two hundred forty-five thousand, four hundred forty".