90114596880 has 1280 divisors, whose sum is σ = 401528586240. Its totient is φ = 16124313600.

The previous prime is 90114596837. The next prime is 90114596927. The reversal of 90114596880 is 8869541109.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 185039997 + ... + 185040483.

It is an arithmetic number, because the mean of its divisors is an integer number (313694208).

Almost surely, 2^90114596880 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 90114596880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200764293120).

90114596880 is an abundant number, since it is smaller than the sum of its proper divisors (311413989360).

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

90114596880 is a wasteful number, since it uses less digits than its factorization.

90114596880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 90114596880 in words is "ninety billion, one hundred fourteen million, five hundred ninety-six thousand, eight hundred eighty".