86501338560 has 1680 divisors, whose sum is σ = 400259946240. Its totient is φ = 17662095360.

The previous prime is 86501338541. The next prime is 86501338577. The reversal of 86501338560 is 6583310568.

86501338560 is a `hidden beast` number, since 8 + 6 + 50 + 1 + 3 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2790365745 + ... + 2790365775.

It is an arithmetic number, because the mean of its divisors is an integer number (238249968).

Almost surely, 2^86501338560 is an apocalyptic number.

86501338560 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 86501338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200129973120).

86501338560 is an abundant number, since it is smaller than the sum of its proper divisors (313758607680).

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

86501338560 is a wasteful number, since it uses less digits than its factorization.

86501338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 86501338560 in words is "eighty-six billion, five hundred one million, three hundred thirty-eight thousand, five hundred sixty".