90979200000 has 1056 divisors, whose sum is σ = 367157125440. Its totient is φ = 22394880000.

The previous prime is 90979199977. The next prime is 90979200017. The reversal of 90979200000 is 297909.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6998399994 + ... + 6998400006.

Almost surely, 2^90979200000 is an apocalyptic number.

90979200000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90979200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183578562720).

90979200000 is an abundant number, since it is smaller than the sum of its proper divisors (276177925440).

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

90979200000 is an frugal number, since it uses more digits than its factorization.

90979200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

Adding to 90979200000 its reverse (297909), we get a palindrome (90979497909).

The spelling of 90979200000 in words is "ninety billion, nine hundred seventy-nine million, two hundred thousand".