8057184960 has 224 divisors, whose sum is σ = 27980640000. Its totient is φ = 1948119040.

The previous prime is 8057184943. The next prime is 8057184977. The reversal of 8057184960 is 694817508.

It is an interprime number because it is at equal distance from previous prime (8057184943) and next prime (8057184977).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5374291 + ... + 5375789.

Almost surely, 2^8057184960 is an apocalyptic number.

8057184960 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 8057184960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13990320000).

8057184960 is an abundant number, since it is smaller than the sum of its proper divisors (19923455040).

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

8057184960 is a wasteful number, since it uses less digits than its factorization.

8057184960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2039 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The square root of 8057184960 is about 89761.8235108891. The cubic root of 8057184960 is about 2004.7541036285.

The spelling of 8057184960 in words is "eight billion, fifty-seven million, one hundred eighty-four thousand, nine hundred sixty".