975270912000 has 2688 divisors, whose sum is σ = 4475216977920. Its totient is φ = 185794560000.

The previous prime is 975270911983. The next prime is 975270912001. The reversal of 975270912000 is 219072579.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (975270912001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31460351985 + ... + 31460352015.

Almost surely, 2^975270912000 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 975270912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2237608488960).

975270912000 is an abundant number, since it is smaller than the sum of its proper divisors (3499946065920).

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

975270912000 is a wasteful number, since it uses less digits than its factorization.

975270912000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 42.

Adding to 975270912000 its reverse (219072579), we get a palindrome (975489984579).

The spelling of 975270912000 in words is "nine hundred seventy-five billion, two hundred seventy million, nine hundred twelve thousand".