90591770880 has 432 divisors, whose sum is σ = 346692855600. Its totient is φ = 21695496192.

The previous prime is 90591770839. The next prime is 90591770897. The reversal of 90591770880 is 8807719509.

It can be written as a sum of positive squares in 8 ways, for example, as 4522293504 + 86069477376 = 67248^2 + 293376^2 .

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, 5532946 + ... + 5549294.

Almost surely, 2^90591770880 is an apocalyptic number.

90591770880 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 90591770880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173346427800).

90591770880 is an abundant number, since it is smaller than the sum of its proper divisors (256101084720).

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

90591770880 is a wasteful number, since it uses less digits than its factorization.

90591770880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16426 (or 16409 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 54.

The spelling of 90591770880 in words is "ninety billion, five hundred ninety-one million, seven hundred seventy thousand, eight hundred eighty".