90993272832 has 1152 divisors, whose sum is σ = 354940185600. Its totient is φ = 22759833600.

The previous prime is 90993272813. The next prime is 90993272863. The reversal of 90993272832 is 23827239909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1281595357 + ... + 1281595427.

It is an arithmetic number, because the mean of its divisors is an integer number (308107800).

Almost surely, 2^90993272832 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 90993272832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177470092800).

90993272832 is an abundant number, since it is smaller than the sum of its proper divisors (263946912768).

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

90993272832 is a wasteful number, since it uses less digits than its factorization.

90993272832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 90993272832 in words is "ninety billion, nine hundred ninety-three million, two hundred seventy-two thousand, eight hundred thirty-two".