86317672458240 has 288 divisors, whose sum is σ = 308811925094400. Its totient is φ = 22275527639040.

The previous prime is 86317672458139. The next prime is 86317672458257. The reversal of 86317672458240 is 4285427671368.

86317672458240 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 7 + 6 + 7 + 2 + 4 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12249600 + ... + 17963519.

It is an arithmetic number, because the mean of its divisors is an integer number (1072263628800).

Almost surely, 2^{86317672458240} is an apocalyptic number.

86317672458240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86317672458240 is an abundant number, since it is smaller than the sum of its proper divisors (222494252636160).

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

86317672458240 is a wasteful number, since it uses less digits than its factorization.

86317672458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30213183 (or 30213160 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 86317672458240 in words is "eighty-six trillion, three hundred seventeen billion, six hundred seventy-two million, four hundred fifty-eight thousand, two hundred forty".