1157352560 has 180 divisors, whose sum is σ = 3391410168. Its totient is φ = 366073344.

The previous prime is 1157352533. The next prime is 1157352587. The reversal of 1157352560 is 652537511.

It is an interprime number because it is at equal distance from previous prime (1157352533) and next prime (1157352587).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1157352560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 661607 + ... + 663353.

Almost surely, 2^1157352560 is an apocalyptic number.

1157352560 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 1157352560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1695705084).

1157352560 is an abundant number, since it is smaller than the sum of its proper divisors (2234057608).

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

1157352560 is a wasteful number, since it uses less digits than its factorization.

1157352560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 1157352560 is about 34019.8847734674. The cubic root of 1157352560 is about 1049.9176231670.

The spelling of 1157352560 in words is "one billion, one hundred fifty-seven million, three hundred fifty-two thousand, five hundred sixty".