90579582054 has 192 divisors, whose sum is σ = 226957925376. Its totient is φ = 25893533952.

The previous prime is 90579582047. The next prime is 90579582061. The reversal of 90579582054 is 45028597509.

90579582054 is a `hidden beast` number, since 9 + 0 + 5 + 7 + 9 + 582 + 0 + 54 = 666.

It is an interprime number because it is at equal distance from previous prime (90579582047) and next prime (90579582061).

It is a congruent number.

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, 29378797 + ... + 29381879.

It is an arithmetic number, because the mean of its divisors is an integer number (1182072528).

Almost surely, 2^90579582054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90579582054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113478962688).

90579582054 is an abundant number, since it is smaller than the sum of its proper divisors (136378343322).

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

90579582054 is a wasteful number, since it uses less digits than its factorization.

90579582054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3283 (or 3280 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 90579582054 in words is "ninety billion, five hundred seventy-nine million, five hundred eighty-two thousand, fifty-four".