1157569920 has 256 divisors, whose sum is σ = 4415947200. Its totient is φ = 284884992.

The previous prime is 1157569883. The next prime is 1157569937. The reversal of 1157569920 is 299657511.

1157569920 is a `hidden beast` number, since 11 + 57 + 569 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222064 + ... + 227216.

Almost surely, 2^1157569920 is an apocalyptic number.

1157569920 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 1157569920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207973600).

1157569920 is an abundant number, since it is smaller than the sum of its proper divisors (3258377280).

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

1157569920 is a wasteful number, since it uses less digits than its factorization.

1157569920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5194 (or 5176 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1157569920 is about 34023.0792257256. The cubic root of 1157569920 is about 1049.9833466747.

The spelling of 1157569920 in words is "one billion, one hundred fifty-seven million, five hundred sixty-nine thousand, nine hundred twenty".