86113949644800 has 6048 divisors, whose sum is σ = 426295999059840. Its totient is φ = 16747787059200.

The previous prime is 86113949644727. The next prime is 86113949644813. The reversal of 86113949644800 is 844694931168.

86113949644800 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 3 + 94 + 9 + 64 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a super-2 number, since 2×86113949644800² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 503 ways as a sum of consecutive naturals, for example, 1037517465559 + ... + 1037517465641.

It is an arithmetic number, because the mean of its divisors is an integer number (70485449580).

Almost surely, 2^{86113949644800} is an apocalyptic number.

86113949644800 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 86113949644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213147999529920).

86113949644800 is an abundant number, since it is smaller than the sum of its proper divisors (340182049415040).

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

86113949644800 is a wasteful number, since it uses less digits than its factorization.

86113949644800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 86113949644800 in words is "eighty-six trillion, one hundred thirteen billion, nine hundred forty-nine million, six hundred forty-four thousand, eight hundred".