8153892864 has 480 divisors, whose sum is σ = 27747720000. Its totient is φ = 2364899328.

The previous prime is 8153892829. The next prime is 8153892919. The reversal of 8153892864 is 4682983518.

8153892864 is a `hidden beast` number, since 81 + 538 + 9 + 28 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 8153892864.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40974237 + ... + 40974435.

It is an arithmetic number, because the mean of its divisors is an integer number (57807750).

Almost surely, 2^8153892864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8153892864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13873860000).

8153892864 is an abundant number, since it is smaller than the sum of its proper divisors (19593827136).

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

8153892864 is a wasteful number, since it uses less digits than its factorization.

8153892864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 236 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The square root of 8153892864 is about 90298.9084319406. The cubic root of 8153892864 is about 2012.7430403546.

The spelling of 8153892864 in words is "eight billion, one hundred fifty-three million, eight hundred ninety-two thousand, eight hundred sixty-four".