90819913272 has 128 divisors (see below), whose sum is σ = 249576284160. Its totient is φ = 27312232320.

The previous prime is 90819913259. The next prime is 90819913277. The reversal of 90819913272 is 27231991809.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90819913277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36283173 + ... + 36285675.

It is an arithmetic number, because the mean of its divisors is an integer number (1949814720).

Almost surely, 2^90819913272 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 90819913272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124788142080).

90819913272 is an abundant number, since it is smaller than the sum of its proper divisors (158756370888).

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

90819913272 is a wasteful number, since it uses less digits than its factorization.

90819913272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 51.

The spelling of 90819913272 in words is "ninety billion, eight hundred nineteen million, nine hundred thirteen thousand, two hundred seventy-two".