90030679200 has 2592 divisors, whose sum is σ = 450093067200. Its totient is φ = 17244057600.

The previous prime is 90030679177. The next prime is 90030679217. The reversal of 90030679200 is 297603009.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2433261582 + ... + 2433261618.

Almost surely, 2^90030679200 is an apocalyptic number.

90030679200 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 90030679200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225046533600).

90030679200 is an abundant number, since it is smaller than the sum of its proper divisors (360062388000).

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

90030679200 is a wasteful number, since it uses less digits than its factorization.

90030679200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The spelling of 90030679200 in words is "ninety billion, thirty million, six hundred seventy-nine thousand, two hundred".