90790503552 has 384 divisors, whose sum is σ = 317979043200. Its totient is φ = 24272732160.

The previous prime is 90790503539. The next prime is 90790503589. The reversal of 90790503552 is 25530509709.

90790503552 is a `hidden beast` number, since 9 + 0 + 7 + 90 + 5 + 0 + 3 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 90790503498 and 90790503507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24811099 + ... + 24814757.

It is an arithmetic number, because the mean of its divisors is an integer number (828070425).

Almost surely, 2^90790503552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90790503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158989521600).

90790503552 is an abundant number, since it is smaller than the sum of its proper divisors (227188539648).

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

90790503552 is a wasteful number, since it uses less digits than its factorization.

90790503552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The spelling of 90790503552 in words is "ninety billion, seven hundred ninety million, five hundred three thousand, five hundred fifty-two".