1157363800 has 48 divisors (see below), whose sum is σ = 2693789640. Its totient is φ = 462443520.

The previous prime is 1157363789. The next prime is 1157363819. The reversal of 1157363800 is 83637511.

1157363800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222024 + ... + 227176.

Almost surely, 2^1157363800 is an apocalyptic number.

1157363800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157363800 is an abundant number, since it is smaller than the sum of its proper divisors (1536425840).

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

1157363800 is a wasteful number, since it uses less digits than its factorization.

1157363800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6292 (or 6283 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1157363800 is about 34020.0499705688. The cubic root of 1157363800 is about 1049.9210220264.

The spelling of 1157363800 in words is "one billion, one hundred fifty-seven million, three hundred sixty-three thousand, eight hundred".