90888059316736 has 320 divisors, whose sum is σ = 203709274914816. Its totient is φ = 40159881216000.

The previous prime is 90888059316599. The next prime is 90888059316763. The reversal of 90888059316736 is 63761395088809.

90888059316736 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 2×90888059316736² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43633248751 + ... + 43633250833.

Almost surely, 2^{90888059316736} 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 90888059316736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101854637457408).

90888059316736 is an abundant number, since it is smaller than the sum of its proper divisors (112821215598080).

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

90888059316736 is a wasteful number, since it uses less digits than its factorization.

90888059316736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443 (or 3427 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 73.

The spelling of 90888059316736 in words is "ninety trillion, eight hundred eighty-eight billion, fifty-nine million, three hundred sixteen thousand, seven hundred thirty-six".