86551477415568 has 240 divisors, whose sum is σ = 270404873069760. Its totient is φ = 25616316902400.

The previous prime is 86551477415539. The next prime is 86551477415573.

86551477415568 is a `hidden beast` number, since 8 + 6 + 5 + 5 + 1 + 47 + 7 + 4 + 15 + 568 = 666.

86551477415568 is nontrivially palindromic in base 10.

86551477415568 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 86551477415496 and 86551477415505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2061661138 + ... + 2061703118.

It is an arithmetic number, because the mean of its divisors is an integer number (1126686971124).

Almost surely, 2^{86551477415568} is an apocalyptic number.

86551477415568 is a gapful number since it is divisible by the number (88) 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 86551477415568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135202436534880).

86551477415568 is an abundant number, since it is smaller than the sum of its proper divisors (183853395654192).

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

86551477415568 is a wasteful number, since it uses less digits than its factorization.

86551477415568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72318 (or 72309 counting only the distinct ones).

The product of its digits is 1128960000, while the sum is 72.

The spelling of 86551477415568 in words is "eighty-six trillion, five hundred fifty-one billion, four hundred seventy-seven million, four hundred fifteen thousand, five hundred sixty-eight".