86743057567680 has 560 divisors, whose sum is σ = 311860740280320. Its totient is φ = 22884246945792.

The previous prime is 86743057567609. The next prime is 86743057567681. The reversal of 86743057567680 is 8676575034768.

86743057567680 is a `hidden beast` number, since 8 + 6 + 7 + 4 + 3 + 0 + 57 + 567 + 6 + 8 + 0 = 666.

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 = 86743057567599 and 86743057567608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86743057567681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9008517106 + ... + 9008526734.

It is an arithmetic number, because the mean of its divisors is an integer number (556894179072).

Almost surely, 2^{86743057567680} is an apocalyptic number.

86743057567680 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 86743057567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155930370140160).

86743057567680 is an abundant number, since it is smaller than the sum of its proper divisors (225117682712640).

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

86743057567680 is a wasteful number, since it uses less digits than its factorization.

86743057567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13338 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 1422489600, while the sum is 72.

The spelling of 86743057567680 in words is "eighty-six trillion, seven hundred forty-three billion, fifty-seven million, five hundred sixty-seven thousand, six hundred eighty".