90915772000 has 96 divisors (see below), whose sum is σ = 225683902080. Its totient is φ = 35991244800.

The previous prime is 90915771967. The next prime is 90915772021. The reversal of 90915772000 is 27751909.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 270841 + ... + 505159.

It is an arithmetic number, because the mean of its divisors is an integer number (2350873980).

Almost surely, 2^90915772000 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 90915772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112841951040).

90915772000 is an abundant number, since it is smaller than the sum of its proper divisors (134768130080).

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

90915772000 is a wasteful number, since it uses less digits than its factorization.

90915772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234441 (or 234423 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 40.

The spelling of 90915772000 in words is "ninety billion, nine hundred fifteen million, seven hundred seventy-two thousand".