975985142900 has 144 divisors (see below), whose sum is σ = 2313782116800. Its totient is φ = 355924316160.

The previous prime is 975985142861. The next prime is 975985142911. The reversal of 975985142900 is 9241589579.

It is a self number, because there is not a number n which added to its sum of digits gives 975985142900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16886852 + ... + 16944548.

Almost surely, 2^975985142900 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 975985142900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156891058400).

975985142900 is an abundant number, since it is smaller than the sum of its proper divisors (1337796973900).

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

975985142900 is a wasteful number, since it uses less digits than its factorization.

975985142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58066 (or 58059 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 59.

The spelling of 975985142900 in words is "nine hundred seventy-five billion, nine hundred eighty-five million, one hundred forty-two thousand, nine hundred".