86795647848000 has 10752 divisors, whose sum is σ = 465232674816000. Its totient is φ = 15801827328000.

The previous prime is 86795647847927. The next prime is 86795647848079. The reversal of 86795647848000 is 84874659768.

86795647848000 is a `hidden beast` number, since 8 + 6 + 79 + 5 + 6 + 4 + 78 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×86795647848000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 86795647848000.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 2799859607985 + ... + 2799859608015.

It is an arithmetic number, because the mean of its divisors is an integer number (43269408000).

Almost surely, 2^{86795647848000} is an apocalyptic number.

86795647848000 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 86795647848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232616337408000).

86795647848000 is an abundant number, since it is smaller than the sum of its proper divisors (378437026968000).

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

86795647848000 is a wasteful number, since it uses less digits than its factorization.

86795647848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 72.

The spelling of 86795647848000 in words is "eighty-six trillion, seven hundred ninety-five billion, six hundred forty-seven million, eight hundred forty-eight thousand".