90517552020 has 432 divisors, whose sum is σ = 339613223040. Its totient is φ = 19414467072.

The previous prime is 90517552009. The next prime is 90517552033. The reversal of 90517552020 is 2025571509.

90517552020 is a `hidden beast` number, since 90 + 5 + 17 + 552 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10747371 + ... + 10755789.

It is an arithmetic number, because the mean of its divisors is an integer number (786141720).

Almost surely, 2^90517552020 is an apocalyptic number.

90517552020 is a gapful number since it is divisible by the number (90) 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 90517552020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169806611520).

90517552020 is an abundant number, since it is smaller than the sum of its proper divisors (249095671020).

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

90517552020 is a wasteful number, since it uses less digits than its factorization.

90517552020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8524 (or 8512 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 90517552020 in words is "ninety billion, five hundred seventeen million, five hundred fifty-two thousand, twenty".