86518978560 has 1440 divisors, whose sum is σ = 386496321120. Its totient is φ = 17803247616.

The previous prime is 86518978547. The next prime is 86518978561. The reversal of 86518978560 is 6587981568.

86518978560 is a `hidden beast` number, since 8 + 65 + 1 + 8 + 9 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86518978561) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3761694709 + ... + 3761694731.

It is an arithmetic number, because the mean of its divisors is an integer number (268400223).

Almost surely, 2^86518978560 is an apocalyptic number.

86518978560 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 86518978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193248160560).

86518978560 is an abundant number, since it is smaller than the sum of its proper divisors (299977342560).

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

86518978560 is a wasteful number, since it uses less digits than its factorization.

86518978560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 86518978560 in words is "eighty-six billion, five hundred eighteen million, nine hundred seventy-eight thousand, five hundred sixty".