86921555512968 has 96 divisors (see below), whose sum is σ = 257240998778400. Its totient is φ = 26296038432000.

The previous prime is 86921555512901. The next prime is 86921555512999.

86921555512968 is a `hidden beast` number, since 8 + 6 + 9 + 2 + 1 + 5 + 5 + 551 + 2 + 9 + 68 = 666.

86921555512968 is nontrivially palindromic in base 10.

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 = 86921555512896 and 86921555512905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90829698 + ... + 91781681.

It is an arithmetic number, because the mean of its divisors is an integer number (2679593737275).

Almost surely, 2^{86921555512968} is an apocalyptic number.

86921555512968 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86921555512968 is an abundant number, since it is smaller than the sum of its proper divisors (170319443265432).

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

86921555512968 is a wasteful number, since it uses less digits than its factorization.

86921555512968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182612003 (or 182611996 counting only the distinct ones).

The product of its digits is 466560000, while the sum is 72.

The spelling of 86921555512968 in words is "eighty-six trillion, nine hundred twenty-one billion, five hundred fifty-five million, five hundred twelve thousand, nine hundred sixty-eight".