86496192921600 has 5184 divisors, whose sum is σ = 425447379520800. Its totient is φ = 17027275161600.

The previous prime is 86496192921557. The next prime is 86496192921601. The reversal of 86496192921600 is 612929169468.

86496192921600 is a `hidden beast` number, since 8 + 6 + 4 + 9 + 6 + 19 + 2 + 9 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is not an unprimeable number, because it can be changed into a prime (86496192921601) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4552431206391 + ... + 4552431206409.

Almost surely, 2^{86496192921600} is an apocalyptic number.

86496192921600 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 86496192921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212723689760400).

86496192921600 is an abundant number, since it is smaller than the sum of its proper divisors (338951186599200).

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

86496192921600 is an frugal number, since it uses more digits than its factorization.

86496192921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 86496192921600 in words is "eighty-six trillion, four hundred ninety-six billion, one hundred ninety-two million, nine hundred twenty-one thousand, six hundred".