90193640880 has 160 divisors (see below), whose sum is σ = 321660269568. Its totient is φ = 20479104000.

The previous prime is 90193640857. The next prime is 90193640893. The reversal of 90193640880 is 8804639109.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75910 + ... + 431450.

Almost surely, 2^90193640880 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 90193640880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160830134784).

90193640880 is an abundant number, since it is smaller than the sum of its proper divisors (231466628688).

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

90193640880 is a wasteful number, since it uses less digits than its factorization.

90193640880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355715 (or 355709 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 48.

The spelling of 90193640880 in words is "ninety billion, one hundred ninety-three million, six hundred forty thousand, eight hundred eighty".