86257336320 has 1024 divisors, whose sum is σ = 344263219200. Its totient is φ = 20384317440.

The previous prime is 86257336307. The next prime is 86257336349. The reversal of 86257336320 is 2363375268.

86257336320 is a `hidden beast` number, since 8 + 6 + 2 + 5 + 7 + 3 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a super-2 number, since 2×86257336320² (a number of 23 digits) contains 22 as substring.

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2331279342 + ... + 2331279378.

It is an arithmetic number, because the mean of its divisors is an integer number (336194550).

Almost surely, 2^86257336320 is an apocalyptic number.

86257336320 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 86257336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172131609600).

86257336320 is an abundant number, since it is smaller than the sum of its proper divisors (258005882880).

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

86257336320 is a wasteful number, since it uses less digits than its factorization.

86257336320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 86257336320 in words is "eighty-six billion, two hundred fifty-seven million, three hundred thirty-six thousand, three hundred twenty".