975500064000 has 3456 divisors, whose sum is σ = 4776939847680. Its totient is φ = 191600640000.

The previous prime is 975500063983. The next prime is 975500064013. The reversal of 975500064000 is 460005579.

975500064000 is a `hidden beast` number, since 9 + 7 + 5 + 5 + 0 + 0 + 0 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22686047979 + ... + 22686048021.

Almost surely, 2^975500064000 is an apocalyptic number.

975500064000 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 975500064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2388469923840).

975500064000 is an abundant number, since it is smaller than the sum of its proper divisors (3801439783680).

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

975500064000 is a wasteful number, since it uses less digits than its factorization.

975500064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Adding to 975500064000 its reverse (460005579), we get a palindrome (975960069579).

The spelling of 975500064000 in words is "nine hundred seventy-five billion, five hundred million, sixty-four thousand".