86599762560 has 768 divisors, whose sum is σ = 337684464000. Its totient is φ = 20320616448.

The previous prime is 86599762559. The next prime is 86599762567. The reversal of 86599762560 is 6526799568.

86599762560 is a `hidden beast` number, since 8 + 6 + 5 + 9 + 9 + 7 + 62 + 560 = 666.

It is not an unprimeable number, because it can be changed into a prime (86599762567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165582459 + ... + 165582981.

Almost surely, 2^86599762560 is an apocalyptic number.

86599762560 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 86599762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168842232000).

86599762560 is an abundant number, since it is smaller than the sum of its proper divisors (251084701440).

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

86599762560 is a wasteful number, since it uses less digits than its factorization.

86599762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 86599762560 in words is "eighty-six billion, five hundred ninety-nine million, seven hundred sixty-two thousand, five hundred sixty".