90089921376 has 864 divisors, whose sum is σ = 337017844800. Its totient is φ = 22678548480.

The previous prime is 90089921351. The next prime is 90089921401. The reversal of 90089921376 is 67312998009.

It is an interprime number because it is at equal distance from previous prime (90089921351) and next prime (90089921401).

It is a super-3 number, since 3×90089921376³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1234108476 + ... + 1234108548.

It is an arithmetic number, because the mean of its divisors is an integer number (390066950).

Almost surely, 2^90089921376 is an apocalyptic number.

90089921376 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 90089921376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168508922400).

90089921376 is an abundant number, since it is smaller than the sum of its proper divisors (246927923424).

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

90089921376 is a wasteful number, since it uses less digits than its factorization.

90089921376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 90089921376 in words is "ninety billion, eighty-nine million, nine hundred twenty-one thousand, three hundred seventy-six".