275383761120 has 960 divisors, whose sum is σ = 1084363822080. Its totient is φ = 65388736512.

The previous prime is 275383761091. The next prime is 275383761131. The reversal of 275383761120 is 21167383572.

275383761120 is a `hidden beast` number, since 2 + 7 + 5 + 3 + 8 + 3 + 7 + 611 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 657240271 + ... + 657240689.

It is an arithmetic number, because the mean of its divisors is an integer number (1129545648).

Almost surely, 2^275383761120 is an apocalyptic number.

275383761120 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 275383761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542181911040).

275383761120 is an abundant number, since it is smaller than the sum of its proper divisors (808980060960).

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

275383761120 is a wasteful number, since it uses less digits than its factorization.

275383761120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 275383761120 in words is "two hundred seventy-five billion, three hundred eighty-three million, seven hundred sixty-one thousand, one hundred twenty".