90975767000 has 32 divisors (see below), whose sum is σ = 212883297120. Its totient is φ = 36390306400.

The previous prime is 90975766961. The next prime is 90975767009. The reversal of 90975767000 is 76757909.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a self number, because there is not a number n which added to its sum of digits gives 90975767000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90975767009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45486884 + ... + 45488883.

It is an arithmetic number, because the mean of its divisors is an integer number (6652603035).

Almost surely, 2^90975767000 is an apocalyptic number.

It is an amenable number.

90975767000 is an abundant number, since it is smaller than the sum of its proper divisors (121907530120).

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

90975767000 is a wasteful number, since it uses less digits than its factorization.

90975767000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90975788 (or 90975774 counting only the distinct ones).

The product of its (nonzero) digits is 833490, while the sum is 50.

The spelling of 90975767000 in words is "ninety billion, nine hundred seventy-five million, seven hundred sixty-seven thousand".