90680518656 has 480 divisors, whose sum is σ = 333416603520. Its totient is φ = 23911759872.

The previous prime is 90680518609. The next prime is 90680518697. The reversal of 90680518656 is 65681508609.

It is a happy number.

90680518656 is a `hidden beast` number, since 9 + 0 + 68 + 0 + 518 + 65 + 6 = 666.

It is a super-3 number, since 3×90680518656³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15092805 + ... + 15098811.

It is an arithmetic number, because the mean of its divisors is an integer number (694617924).

Almost surely, 2^90680518656 is an apocalyptic number.

90680518656 is a gapful number since it is divisible by the number (96) 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 90680518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166708301760).

90680518656 is an abundant number, since it is smaller than the sum of its proper divisors (242736084864).

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

90680518656 is a wasteful number, since it uses less digits than its factorization.

90680518656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6061 (or 6032 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 90680518656 in words is "ninety billion, six hundred eighty million, five hundred eighteen thousand, six hundred fifty-six".