886712852551680 has 3456 divisors, whose sum is σ = 4118193503424000. Its totient is φ = 174001807687680.

The previous prime is 886712852551663. The next prime is 886712852551709. The reversal of 886712852551680 is 86155258217688.

886712852551680 is a `hidden beast` number, since 8 + 8 + 6 + 7 + 1 + 2 + 8 + 5 + 2 + 551 + 68 + 0 = 666.

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 = 886712852551599 and 886712852551608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 338827989732 + ... + 338827992348.

It is an arithmetic number, because the mean of its divisors is an integer number (1191606916500).

Almost surely, 2^{886712852551680} is an apocalyptic number.

886712852551680 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 886712852551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059096751712000).

886712852551680 is an abundant number, since it is smaller than the sum of its proper divisors (3231480650872320).

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

886712852551680 is a wasteful number, since it uses less digits than its factorization.

886712852551680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 516096000, while the sum is 72.

The spelling of 886712852551680 in words is "eight hundred eighty-six trillion, seven hundred twelve billion, eight hundred fifty-two million, five hundred fifty-one thousand, six hundred eighty".