8151442560 has 256 divisors, whose sum is σ = 29802931200. Its totient is φ = 2103459840.

The previous prime is 8151442517. The next prime is 8151442561. The reversal of 8151442560 is 652441518.

It is a happy number.

8151442560 is a `hidden beast` number, since 8 + 1 + 51 + 4 + 42 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8151442561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 528072 + ... + 543288.

It is an arithmetic number, because the mean of its divisors is an integer number (116417700).

Almost surely, 2^8151442560 is an apocalyptic number.

8151442560 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 8151442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901465600).

8151442560 is an abundant number, since it is smaller than the sum of its proper divisors (21651488640).

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

8151442560 is a wasteful number, since it uses less digits than its factorization.

8151442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15276 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 8151442560 is about 90285.3396737255. The cubic root of 8151442560 is about 2012.5414055239.

The spelling of 8151442560 in words is "eight billion, one hundred fifty-one million, four hundred forty-two thousand, five hundred sixty".