975120588288 has 1280 divisors, whose sum is σ = 3846610944000. Its totient is φ = 236423577600.

The previous prime is 975120588283. The next prime is 975120588301. The reversal of 975120588288 is 882885021579.

975120588288 is a `hidden beast` number, since 9 + 7 + 5 + 1 + 20 + 588 + 28 + 8 = 666.

It is a super-5 number, since 5×975120588288⁵ (a number of 61 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975120588283) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 956938243 + ... + 956939261.

It is an arithmetic number, because the mean of its divisors is an integer number (3005164800).

Almost surely, 2^975120588288 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 975120588288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923305472000).

975120588288 is an abundant number, since it is smaller than the sum of its proper divisors (2871490355712).

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

975120588288 is a wasteful number, since it uses less digits than its factorization.

975120588288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 63.

The spelling of 975120588288 in words is "nine hundred seventy-five billion, one hundred twenty million, five hundred eighty-eight thousand, two hundred eighty-eight".