889990375680 has 1728 divisors, whose sum is σ = 4011258101760. Its totient is φ = 177279860736.

The previous prime is 889990375627. The next prime is 889990375717. The reversal of 889990375680 is 86573099988.

889990375680 is a `hidden beast` number, since 8 + 8 + 99 + 90 + 375 + 6 + 80 = 666.

889990375680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 889990375599 and 889990375608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1224195477 + ... + 1224196203.

It is an arithmetic number, because the mean of its divisors is an integer number (2321329920).

Almost surely, 2^889990375680 is an apocalyptic number.

889990375680 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 889990375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2005629050880).

889990375680 is an abundant number, since it is smaller than the sum of its proper divisors (3121267726080).

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

889990375680 is a wasteful number, since it uses less digits than its factorization.

889990375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 844 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 889990375680 in words is "eight hundred eighty-nine billion, nine hundred ninety million, three hundred seventy-five thousand, six hundred eighty".