86513454941760 has 3136 divisors, whose sum is σ = 413433936152064. Its totient is φ = 16683289804800.

The previous prime is 86513454941731. The next prime is 86513454941779. The reversal of 86513454941760 is 6714945431568.

86513454941760 is a `hidden beast` number, since 8 + 6 + 5 + 1 + 3 + 454 + 9 + 4 + 176 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 22291535020 + ... + 22291538900.

Almost surely, 2^{86513454941760} is an apocalyptic number.

86513454941760 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 86513454941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206716968076032).

86513454941760 is an abundant number, since it is smaller than the sum of its proper divisors (326920481210304).

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

86513454941760 is a wasteful number, since it uses less digits than its factorization.

86513454941760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 3999 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 86513454941760 in words is "eighty-six trillion, five hundred thirteen billion, four hundred fifty-four million, nine hundred forty-one thousand, seven hundred sixty".