975479135595360 has 384 divisors, whose sum is σ = 3388585885913088. Its totient is φ = 233918189568000.

The previous prime is 975479135595329. The next prime is 975479135595361. The reversal of 975479135595360 is 63595531974579.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975479135595361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200864625 + ... + 205663695.

It is an arithmetic number, because the mean of its divisors is an integer number (8824442411232).

Almost surely, 2^{975479135595360} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975479135595360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694292942956544).

975479135595360 is an abundant number, since it is smaller than the sum of its proper divisors (2413106750317728).

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

975479135595360 is a wasteful number, since it uses less digits than its factorization.

975479135595360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4799518 (or 4799510 counting only the distinct ones).

The product of its (nonzero) digits is 4822335000, while the sum is 78.

The spelling of 975479135595360 in words is "nine hundred seventy-five trillion, four hundred seventy-nine billion, one hundred thirty-five million, five hundred ninety-five thousand, three hundred sixty".