975436113960 has 640 divisors, whose sum is σ = 4302696499200. Its totient is φ = 192019299840.

The previous prime is 975436113959. The next prime is 975436113973. The reversal of 975436113960 is 69311634579.

975436113960 is a `hidden beast` number, since 9 + 7 + 5 + 436 + 113 + 96 + 0 = 666.

It is a super-2 number, since 2×975436113960² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 975436113897 and 975436113906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4637229 + ... + 4843011.

It is an arithmetic number, because the mean of its divisors is an integer number (6722963280).

Almost surely, 2^975436113960 is an apocalyptic number.

975436113960 is a gapful number since it is divisible by the number (90) 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 975436113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2151348249600).

975436113960 is an abundant number, since it is smaller than the sum of its proper divisors (3327260385240).

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

975436113960 is a wasteful number, since it uses less digits than its factorization.

975436113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205843 (or 205830 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 975436113960 in words is "nine hundred seventy-five billion, four hundred thirty-six million, one hundred thirteen thousand, nine hundred sixty".