90790919847936 has 1080 divisors, whose sum is σ = 336868253676864. Its totient is φ = 23296243138560.

The previous prime is 90790919847883. The next prime is 90790919847937. The reversal of 90790919847936 is 63974891909709.

90790919847936 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×90790919847936² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90790919847937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6596732191 + ... + 6596745953.

Almost surely, 2^{90790919847936} is an apocalyptic number.

90790919847936 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 90790919847936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168434126838432).

90790919847936 is an abundant number, since it is smaller than the sum of its proper divisors (246077333828928).

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

90790919847936 is a wasteful number, since it uses less digits than its factorization.

90790919847936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13905 (or 13869 counting only the distinct ones).

The product of its (nonzero) digits is 1666598976, while the sum is 81.

The spelling of 90790919847936 in words is "ninety trillion, seven hundred ninety billion, nine hundred nineteen million, eight hundred forty-seven thousand, nine hundred thirty-six".