1557157160 has 256 divisors, whose sum is σ = 4296499200. Its totient is φ = 501645312.

The previous prime is 1557157123. The next prime is 1557157171. The reversal of 1557157160 is 617517551.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12261017 + ... + 12261143.

It is an arithmetic number, because the mean of its divisors is an integer number (16783200).

Almost surely, 2^1557157160 is an apocalyptic number.

1557157160 is a gapful number since it is divisible by the number (10) 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 1557157160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148249600).

1557157160 is an abundant number, since it is smaller than the sum of its proper divisors (2739342040).

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

1557157160 is a wasteful number, since it uses less digits than its factorization.

1557157160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 38.

The square root of 1557157160 is about 39460.8307059038. The cubic root of 1557157160 is about 1159.0730704484.

The spelling of 1557157160 in words is "one billion, five hundred fifty-seven million, one hundred fifty-seven thousand, one hundred sixty".