89890686565680 has 2560 divisors, whose sum is σ = 403607751450624. Its totient is φ = 16057958400000.

The previous prime is 89890686565621. The next prime is 89890686565703. The reversal of 89890686565680 is 8656568609898.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 89890686565593 and 89890686565602.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49911540780 + ... + 49911542580.

Almost surely, 2^{89890686565680} is an apocalyptic number.

89890686565680 is a gapful number since it is divisible by the number (80) 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 89890686565680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201803875725312).

89890686565680 is an abundant number, since it is smaller than the sum of its proper divisors (313717064884944).

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

89890686565680 is a wasteful number, since it uses less digits than its factorization.

89890686565680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1988 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 10749542400, while the sum is 84.

The spelling of 89890686565680 in words is "eighty-nine trillion, eight hundred ninety billion, six hundred eighty-six million, five hundred sixty-five thousand, six hundred eighty".