90916535808 has 800 divisors, whose sum is σ = 333679357440. Its totient is φ = 24067031040.

The previous prime is 90916535797. The next prime is 90916535863. The reversal of 90916535808 is 80853561909.

It is a happy number.

90916535808 is a `hidden beast` number, since 9 + 0 + 9 + 1 + 6 + 53 + 580 + 8 = 666.

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 79 ways as a sum of consecutive naturals, for example, 292335973 + ... + 292336283.

Almost surely, 2^90916535808 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 90916535808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166839678720).

90916535808 is an abundant number, since it is smaller than the sum of its proper divisors (242762821632).

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

90916535808 is a wasteful number, since it uses less digits than its factorization.

90916535808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 90916535808 in words is "ninety billion, nine hundred sixteen million, five hundred thirty-five thousand, eight hundred eight".