86412160800 has 1008 divisors, whose sum is σ = 368454042432. Its totient is φ = 19371571200.

The previous prime is 86412160789. The next prime is 86412160801. The reversal of 86412160800 is 806121468.

86412160800 is a `hidden beast` number, since 8 + 6 + 41 + 2 + 1 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (86412160801) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 249026227 + ... + 249026573.

It is an arithmetic number, because the mean of its divisors is an integer number (365529804).

Almost surely, 2^86412160800 is an apocalyptic number.

86412160800 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 86412160800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184227021216).

86412160800 is an abundant number, since it is smaller than the sum of its proper divisors (282041881632).

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

86412160800 is a wasteful number, since it uses less digits than its factorization.

86412160800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 86412160800 in words is "eighty-six billion, four hundred twelve million, one hundred sixty thousand, eight hundred".