90899306880 has 128 divisors (see below), whose sum is σ = 289830078720. Its totient is φ = 24232409088.

The previous prime is 90899306879. The next prime is 90899306923. The reversal of 90899306880 is 8860399809.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9601029 + ... + 9610491.

It is an arithmetic number, because the mean of its divisors is an integer number (2264297490).

Almost surely, 2^90899306880 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 90899306880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144915039360).

90899306880 is an abundant number, since it is smaller than the sum of its proper divisors (198930771840).

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

90899306880 is a wasteful number, since it uses less digits than its factorization.

90899306880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488 (or 14476 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 90899306880 in words is "ninety billion, eight hundred ninety-nine million, three hundred six thousand, eight hundred eighty".