1157516120 has 64 divisors (see below), whose sum is σ = 2651551200. Its totient is φ = 454671360.

The previous prime is 1157516089. The next prime is 1157516123. The reversal of 1157516120 is 216157511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157516123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1395866 + ... + 1396694.

Almost surely, 2^1157516120 is an apocalyptic number.

1157516120 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 1157516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325775600).

1157516120 is an abundant number, since it is smaller than the sum of its proper divisors (1494035080).

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

1157516120 is a wasteful number, since it uses less digits than its factorization.

1157516120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 29.

The square root of 1157516120 is about 34022.2885767551. The cubic root of 1157516120 is about 1049.9670798447.

The spelling of 1157516120 in words is "one billion, one hundred fifty-seven million, five hundred sixteen thousand, one hundred twenty".