90880972416 has 384 divisors, whose sum is σ = 288279613440. Its totient is φ = 27311800320.

The previous prime is 90880972379. The next prime is 90880972423. The reversal of 90880972416 is 61427908809.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×90880972416² (a number of 23 digits) contains 22 as substring.

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, 135038256 + ... + 135038928.

It is an arithmetic number, because the mean of its divisors is an integer number (750728160).

Almost surely, 2^90880972416 is an apocalyptic number.

90880972416 is a gapful number since it is divisible by the number (96) 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 90880972416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144139806720).

90880972416 is an abundant number, since it is smaller than the sum of its proper divisors (197398641024).

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

90880972416 is a wasteful number, since it uses less digits than its factorization.

90880972416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 90880972416 in words is "ninety billion, eight hundred eighty million, nine hundred seventy-two thousand, four hundred sixteen".