8153695872000 has 3168 divisors, whose sum is σ = 37207747150080. Its totient is φ = 1741425868800.

The previous prime is 8153695871983. The next prime is 8153695872043. The reversal of 8153695872000 is 2785963518.

8153695872000 is a `hidden beast` number, since 8 + 1 + 5 + 36 + 9 + 587 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 111694463964 + ... + 111694464036.

Almost surely, 2^{8153695872000} is an apocalyptic number.

8153695872000 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 8153695872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18603873575040).

8153695872000 is an abundant number, since it is smaller than the sum of its proper divisors (29054051278080).

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

8153695872000 is an frugal number, since it uses more digits than its factorization.

8153695872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 8153695872000 in words is "eight trillion, one hundred fifty-three billion, six hundred ninety-five million, eight hundred seventy-two thousand".