86740249992960 has 576 divisors, whose sum is σ = 282830617681920. Its totient is φ = 22649807831040.

The previous prime is 86740249992953. The next prime is 86740249992997. The reversal of 86740249992960 is 6929994204768.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79797837537 + ... + 79797838623.

It is an arithmetic number, because the mean of its divisors is an integer number (491025377920).

Almost surely, 2^{86740249992960} is an apocalyptic number.

86740249992960 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 86740249992960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141415308840960).

86740249992960 is an abundant number, since it is smaller than the sum of its proper divisors (196090367688960).

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

86740249992960 is a wasteful number, since it uses less digits than its factorization.

86740249992960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 75.

The spelling of 86740249992960 in words is "eighty-six trillion, seven hundred forty billion, two hundred forty-nine million, nine hundred ninety-two thousand, nine hundred sixty".