1157157864 has 96 divisors (see below), whose sum is σ = 3227933280. Its totient is φ = 374274432.

The previous prime is 1157157829. The next prime is 1157157889. The reversal of 1157157864 is 4687517511.

1157157864 is a `hidden beast` number, since 1 + 1 + 5 + 71 + 578 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503502 + ... + 505794.

It is an arithmetic number, because the mean of its divisors is an integer number (33624305).

Almost surely, 2^1157157864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157157864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613966640).

1157157864 is an abundant number, since it is smaller than the sum of its proper divisors (2070775416).

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

1157157864 is a wasteful number, since it uses less digits than its factorization.

1157157864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511 (or 2504 counting only the distinct ones).

The product of its digits is 235200, while the sum is 45.

The square root of 1157157864 is about 34017.0231501817. The cubic root of 1157157864 is about 1049.8587456240.

The spelling of 1157157864 in words is "one billion, one hundred fifty-seven million, one hundred fifty-seven thousand, eight hundred sixty-four".