90516936760 has 64 divisors (see below), whose sum is σ = 205676910720. Its totient is φ = 35849132160.

The previous prime is 90516936751. The next prime is 90516936779. The reversal of 90516936760 is 6763961509.

It is a junction number, because it is equal to n+sod(n) for n = 90516936698 and 90516936707.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10040655 + ... + 10049665.

It is an arithmetic number, because the mean of its divisors is an integer number (3213701730).

Almost surely, 2^90516936760 is an apocalyptic number.

It is an amenable number.

90516936760 is an abundant number, since it is smaller than the sum of its proper divisors (115159973960).

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

90516936760 is a wasteful number, since it uses less digits than its factorization.

90516936760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11476 (or 11472 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 52.

The spelling of 90516936760 in words is "ninety billion, five hundred sixteen million, nine hundred thirty-six thousand, seven hundred sixty".