886978727879688 has 256 divisors, whose sum is σ = 2515072079520000. Its totient is φ = 289591082219520.

The previous prime is 886978727879683. The next prime is 886978727879729.

It is a happy number.

886978727879688 is a `hidden beast` number, since 8 + 86 + 9 + 7 + 87 + 278 + 7 + 96 + 88 = 666.

886978727879688 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×886978727879688² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (108).

It is a self number, because there is not a number n which added to its sum of digits gives 886978727879688.

It is not an unprimeable number, because it can be changed into a prime (886978727879683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761937918 + ... + 763101138.

It is an arithmetic number, because the mean of its divisors is an integer number (9824500310625).

Almost surely, 2^{886978727879688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 886978727879688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257536039760000).

886978727879688 is an abundant number, since it is smaller than the sum of its proper divisors (1628093351640312).

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

886978727879688 is a wasteful number, since it uses less digits than its factorization.

886978727879688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163717 (or 1163707 counting only the distinct ones).

The product of its digits is 3670705963008, while the sum is 108.

The spelling of 886978727879688 in words is "eight hundred eighty-six trillion, nine hundred seventy-eight billion, seven hundred twenty-seven million, eight hundred seventy-nine thousand, six hundred eighty-eight".