90157650030 has 192 divisors, whose sum is σ = 272090078208. Its totient is φ = 20287411200.

The previous prime is 90157650013. The next prime is 90157650059. The reversal of 90157650030 is 3005675109.

It is a happy number.

90157650030 is a `hidden beast` number, since 9 + 0 + 1 + 576 + 50 + 0 + 30 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10745497 + ... + 10753883.

It is an arithmetic number, because the mean of its divisors is an integer number (1417135824).

Almost surely, 2^90157650030 is an apocalyptic number.

90157650030 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 90157650030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136045039104).

90157650030 is an abundant number, since it is smaller than the sum of its proper divisors (181932428178).

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

90157650030 is a wasteful number, since it uses less digits than its factorization.

90157650030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8671 (or 8668 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 90157650030 in words is "ninety billion, one hundred fifty-seven million, six hundred fifty thousand, thirty".