90463882560 has 448 divisors, whose sum is σ = 306353553408. Its totient is φ = 22579200000.

The previous prime is 90463882549. The next prime is 90463882679. The reversal of 90463882560 is 6528836409.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184243915 + ... + 184244405.

It is an arithmetic number, because the mean of its divisors is an integer number (683824896).

Almost surely, 2^90463882560 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 90463882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153176776704).

90463882560 is an abundant number, since it is smaller than the sum of its proper divisors (215889670848).

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

90463882560 is a wasteful number, since it uses less digits than its factorization.

90463882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 90463882560 in words is "ninety billion, four hundred sixty-three million, eight hundred eighty-two thousand, five hundred sixty".