90765520084836 has 405 divisors, whose sum is σ = 254081779380891. Its totient is φ = 28250196429312.

The previous prime is 90765520084763. The next prime is 90765520084861. The reversal of 90765520084836 is 63848002556709.

It is a happy number.

The square root of 90765520084836 is 9527094.

It is a perfect power (a square), and thus also a powerful number.

90765520084836 is a `hidden beast` number, since 9 + 0 + 7 + 6 + 552 + 0 + 0 + 8 + 48 + 36 = 666.

90765520084836 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 67287076236900 + 23478443847936 = 8202870^2 + 4845456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 289985687016 + ... + 289985687328.

Almost surely, 2^{90765520084836} is an apocalyptic number.

90765520084836 is the 9527094-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90765520084836

90765520084836 is an abundant number, since it is smaller than the sum of its proper divisors (163316259296055).

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

90765520084836 is an equidigital number, since it uses as much as digits as its factorization.

90765520084836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 90765520084836 in words is "ninety trillion, seven hundred sixty-five billion, five hundred twenty million, eighty-four thousand, eight hundred thirty-six".