90294694920 has 240 divisors, whose sum is σ = 311929958340. Its totient is φ = 23426661888.

The previous prime is 90294694891. The next prime is 90294694927. The reversal of 90294694920 is 2949649209.

90294694920 is a `hidden beast` number, since 9 + 0 + 2 + 94 + 69 + 492 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 79142067684 + 11152627236 = 281322^2 + 105606^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90294694927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4425382 + ... + 4445738.

Almost surely, 2^90294694920 is an apocalyptic number.

90294694920 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 90294694920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155964979170).

90294694920 is an abundant number, since it is smaller than the sum of its proper divisors (221635263420).

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

90294694920 is a wasteful number, since it uses less digits than its factorization.

90294694920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20454 (or 20404 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 90294694920 in words is "ninety billion, two hundred ninety-four million, six hundred ninety-four thousand, nine hundred twenty".