90544970880 has 1024 divisors, whose sum is σ = 400735641600. Its totient is φ = 18811699200.

The previous prime is 90544970837. The next prime is 90544970899. The reversal of 90544970880 is 8807944509.

90544970880 is a `hidden beast` number, since 9 + 0 + 544 + 97 + 0 + 8 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111645675 + ... + 111646485.

It is an arithmetic number, because the mean of its divisors is an integer number (391343400).

Almost surely, 2^90544970880 is an apocalyptic number.

90544970880 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 90544970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200367820800).

90544970880 is an abundant number, since it is smaller than the sum of its proper divisors (310190670720).

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

90544970880 is a wasteful number, since it uses less digits than its factorization.

90544970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 90544970880 in words is "ninety billion, five hundred forty-four million, nine hundred seventy thousand, eight hundred eighty".