8015253792 has 144 divisors (see below), whose sum is σ = 26358054912. Its totient is φ = 2113896960.

The previous prime is 8015253791. The next prime is 8015253803. The reversal of 8015253792 is 2973525108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (8015253791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384 + ... + 126687.

It is an arithmetic number, because the mean of its divisors is an integer number (183042048).

Almost surely, 2^8015253792 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 8015253792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179027456).

8015253792 is an abundant number, since it is smaller than the sum of its proper divisors (18342801120).

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

8015253792 is a wasteful number, since it uses less digits than its factorization.

8015253792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131111 (or 131096 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The square root of 8015253792 is about 89527.9497810600. The cubic root of 8015253792 is about 2001.2703422777.

The spelling of 8015253792 in words is "eight billion, fifteen million, two hundred fifty-three thousand, seven hundred ninety-two".