86457069360 has 160 divisors (see below), whose sum is σ = 304722401280. Its totient is φ = 22519026432.

The previous prime is 86457069359. The next prime is 86457069373. The reversal of 86457069360 is 6396075468.

86457069360 is a `hidden beast` number, since 8 + 6 + 4 + 570 + 6 + 9 + 3 + 60 = 666.

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 = 86457069297 and 86457069306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 372544 + ... + 558303.

It is an arithmetic number, because the mean of its divisors is an integer number (1904515008).

Almost surely, 2^86457069360 is an apocalyptic number.

86457069360 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86457069360 is an abundant number, since it is smaller than the sum of its proper divisors (218265331920).

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

86457069360 is a wasteful number, since it uses less digits than its factorization.

86457069360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930912 (or 930900 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 86457069360 in words is "eighty-six billion, four hundred fifty-seven million, sixty-nine thousand, three hundred sixty".