1157570560 has 112 divisors (see below), whose sum is σ = 2830982400. Its totient is φ = 454230016.

The previous prime is 1157570551. The next prime is 1157570569. The reversal of 1157570560 is 650757511.

It is an interprime number because it is at equal distance from previous prime (1157570551) and next prime (1157570569).

It is not an unprimeable number, because it can be changed into a prime (1157570569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2416401 + ... + 2416879.

Almost surely, 2^1157570560 is an apocalyptic number.

1157570560 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 1157570560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415491200).

1157570560 is an abundant number, since it is smaller than the sum of its proper divisors (1673411840).

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

1157570560 is an frugal number, since it uses more digits than its factorization.

1157570560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 37.

The square root of 1157570560 is about 34023.0886311046. The cubic root of 1157570560 is about 1049.9835401804.

The spelling of 1157570560 in words is "one billion, one hundred fifty-seven million, five hundred seventy thousand, five hundred sixty".