975051192960 has 1536 divisors, whose sum is σ = 3967319865600. Its totient is φ = 218621804544.

The previous prime is 975051192953. The next prime is 975051192989. The reversal of 975051192960 is 69291150579.

It is a junction number, because it is equal to n+sod(n) for n = 975051192897 and 975051192906.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5052078624 + ... + 5052078816.

Almost surely, 2^975051192960 is an apocalyptic number.

975051192960 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 975051192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1983659932800).

975051192960 is an abundant number, since it is smaller than the sum of its proper divisors (2992268672640).

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

975051192960 is a wasteful number, since it uses less digits than its factorization.

975051192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 54.

The spelling of 975051192960 in words is "nine hundred seventy-five billion, fifty-one million, one hundred ninety-two thousand, nine hundred sixty".