975995665920 has 960 divisors, whose sum is σ = 3921421870080. Its totient is φ = 221714841600.

The previous prime is 975995665919. The next prime is 975995665969. The reversal of 975995665920 is 29566599579.

975995665920 is a `hidden beast` number, since 9 + 7 + 5 + 9 + 9 + 566 + 59 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1546744005 + ... + 1546744635.

It is an arithmetic number, because the mean of its divisors is an integer number (4084814448).

Almost surely, 2^975995665920 is an apocalyptic number.

975995665920 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 975995665920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960710935040).

975995665920 is an abundant number, since it is smaller than the sum of its proper divisors (2945426204160).

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

975995665920 is a wasteful number, since it uses less digits than its factorization.

975995665920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 413343000, while the sum is 72.

The spelling of 975995665920 in words is "nine hundred seventy-five billion, nine hundred ninety-five million, six hundred sixty-five thousand, nine hundred twenty".