86057199360 has 720 divisors, whose sum is σ = 341704816992. Its totient is φ = 20503756800.

The previous prime is 86057199329. The next prime is 86057199439. The reversal of 86057199360 is 6399175068.

86057199360 is a `hidden beast` number, since 8 + 6 + 0 + 571 + 9 + 9 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 86057199297 and 86057199306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69568662 + ... + 69569898.

Almost surely, 2^86057199360 is an apocalyptic number.

86057199360 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 86057199360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170852408496).

86057199360 is an abundant number, since it is smaller than the sum of its proper divisors (255647617632).

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

86057199360 is a wasteful number, since it uses less digits than its factorization.

86057199360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1342 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 86057199360 in words is "eighty-six billion, fifty-seven million, one hundred ninety-nine thousand, three hundred sixty".