975216521136 has 320 divisors, whose sum is σ = 3059260194816. Its totient is φ = 263639577600.

The previous prime is 975216521131. The next prime is 975216521143. The reversal of 975216521136 is 631125612579.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (975216521131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188736825 + ... + 188741991.

Almost surely, 2^975216521136 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 975216521136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529630097408).

975216521136 is an abundant number, since it is smaller than the sum of its proper divisors (2084043673680).

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

975216521136 is a wasteful number, since it uses less digits than its factorization.

975216521136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6120 (or 6114 counting only the distinct ones).

The product of its digits is 680400, while the sum is 48.

The spelling of 975216521136 in words is "nine hundred seventy-five billion, two hundred sixteen million, five hundred twenty-one thousand, one hundred thirty-six".