90661857792 has 480 divisors, whose sum is σ = 280878022656. Its totient is φ = 25915760640.

The previous prime is 90661857707. The next prime is 90661857827. The reversal of 90661857792 is 29775816609.

It is a super-2 number, since 2×90661857792² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542885293 + ... + 542885459.

Almost surely, 2^90661857792 is an apocalyptic number.

90661857792 is a gapful number since it is divisible by the number (92) 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 90661857792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140439011328).

90661857792 is an abundant number, since it is smaller than the sum of its proper divisors (190216164864).

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

90661857792 is a wasteful number, since it uses less digits than its factorization.

90661857792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 90661857792 in words is "ninety billion, six hundred sixty-one million, eight hundred fifty-seven thousand, seven hundred ninety-two".