86717243520 has 256 divisors, whose sum is σ = 314616960000. Its totient is φ = 22560399360.

The previous prime is 86717243513. The next prime is 86717243573. The reversal of 86717243520 is 2534271768.

86717243520 is a `hidden beast` number, since 86 + 7 + 1 + 7 + 2 + 43 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 647281 + ... + 769679.

It is an arithmetic number, because the mean of its divisors is an integer number (1228972500).

Almost surely, 2^86717243520 is an apocalyptic number.

86717243520 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 86717243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157308480000).

86717243520 is an abundant number, since it is smaller than the sum of its proper divisors (227899716480).

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

86717243520 is a wasteful number, since it uses less digits than its factorization.

86717243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122468 (or 122450 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 86717243520 in words is "eighty-six billion, seven hundred seventeen million, two hundred forty-three thousand, five hundred twenty".