86884406626392 has 24 divisors (see below), whose sum is σ = 235311934613340. Its totient is φ = 28961468875440.

The previous prime is 86884406626379. The next prime is 86884406626397. The reversal of 86884406626392 is 29362660448868.

86884406626392 is a `hidden beast` number, since 8 + 68 + 8 + 440 + 6 + 62 + 63 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×86884406626392² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1206727869811 = 86884406626392 / (8 + 6 + 8 + 8 + 4 + 4 + 0 + 6 + 6 + 2 + 6 + 3 + 9 + 2).

It is a self number, because there is not a number n which added to its sum of digits gives 86884406626392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86884406626397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 603363934834 + ... + 603363934977.

Almost surely, 2^{86884406626392} is an apocalyptic number.

It is an amenable number.

86884406626392 is an abundant number, since it is smaller than the sum of its proper divisors (148427527986948).

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

86884406626392 is a wasteful number, since it uses less digits than its factorization.

86884406626392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206727869823 (or 1206727869816 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 72.

The spelling of 86884406626392 in words is "eighty-six trillion, eight hundred eighty-four billion, four hundred six million, six hundred twenty-six thousand, three hundred ninety-two".