90684012625920 has 1824 divisors, whose sum is σ = 375343723842048. Its totient is φ = 19821710278656.

The previous prime is 90684012625889. The next prime is 90684012625933. The reversal of 90684012625920 is 2952621048609.

90684012625920 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 4 + 0 + 1 + 2 + 625 + 9 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204704317219 + ... + 204704317661.

It is an arithmetic number, because the mean of its divisors is an integer number (205780550352).

Almost surely, 2^{90684012625920} is an apocalyptic number.

90684012625920 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 90684012625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187671861921024).

90684012625920 is an abundant number, since it is smaller than the sum of its proper divisors (284659711216128).

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

90684012625920 is an equidigital number, since it uses as much as digits as its factorization.

90684012625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 90684012625920 in words is "ninety trillion, six hundred eighty-four billion, twelve million, six hundred twenty-five thousand, nine hundred twenty".