86761639399680 has 1728 divisors, whose sum is σ = 385849347932160. Its totient is φ = 18062150860800.

The previous prime is 86761639399651. The next prime is 86761639399681. The reversal of 86761639399680 is 8699393616768.

86761639399680 is a `hidden beast` number, since 8 + 6 + 7 + 6 + 163 + 9 + 399 + 68 + 0 = 666.

86761639399680 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a self number, because there is not a number n which added to its sum of digits gives 86761639399680.

It is not an unprimeable number, because it can be changed into a prime (86761639399681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2167341265 + ... + 2167381295.

It is an arithmetic number, because the mean of its divisors is an integer number (223292446720).

Almost surely, 2^{86761639399680} is an apocalyptic number.

86761639399680 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 86761639399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192924673966080).

86761639399680 is an abundant number, since it is smaller than the sum of its proper divisors (299087708532480).

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

86761639399680 is a wasteful number, since it uses less digits than its factorization.

86761639399680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40133 (or 40096 counting only the distinct ones).

The product of its (nonzero) digits is 3809369088, while the sum is 81.

The spelling of 86761639399680 in words is "eighty-six trillion, seven hundred sixty-one billion, six hundred thirty-nine million, three hundred ninety-nine thousand, six hundred eighty".