8151144960 has 640 divisors, whose sum is σ = 31627689984. Its totient is φ = 1751777280.

The previous prime is 8151144949. The next prime is 8151144971. The reversal of 8151144960 is 694411518.

It is an interprime number because it is at equal distance from previous prime (8151144949) and next prime (8151144971).

It is a tau number, because it is divible by the number of its divisors (640).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111659484 + ... + 111659556.

Almost surely, 2^8151144960 is an apocalyptic number.

8151144960 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 8151144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15813844992).

8151144960 is an abundant number, since it is smaller than the sum of its proper divisors (23476545024).

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

8151144960 is a wasteful number, since it uses less digits than its factorization.

8151144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 8151144960 is about 90283.6915505785. The cubic root of 8151144960 is about 2012.5169133514.

The spelling of 8151144960 in words is "eight billion, one hundred fifty-one million, one hundred forty-four thousand, nine hundred sixty".