86679740160 has 432 divisors, whose sum is σ = 331722509664. Its totient is φ = 20758560768.

The previous prime is 86679740141. The next prime is 86679740293. The reversal of 86679740160 is 6104797668.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 86679740097 and 86679740106.

It is a congruent number.

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, 5533299 + ... + 5548941.

Almost surely, 2^86679740160 is an apocalyptic number.

86679740160 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 86679740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165861254832).

86679740160 is an abundant number, since it is smaller than the sum of its proper divisors (245042769504).

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

86679740160 is a wasteful number, since it uses less digits than its factorization.

86679740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15720 (or 15703 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 86679740160 in words is "eighty-six billion, six hundred seventy-nine million, seven hundred forty thousand, one hundred sixty".