1157056992 has 576 divisors, whose sum is σ = 4457980800. Its totient is φ = 281788416.

The previous prime is 1157056987. The next prime is 1157057017. The reversal of 1157056992 is 2996507511.

1157056992 is a `hidden beast` number, since 1 + 15 + 70 + 569 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21831238 + ... + 21831290.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^1157056992 is an apocalyptic number.

1157056992 is a gapful number since it is divisible by the number (12) 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 1157056992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228990400).

1157056992 is an abundant number, since it is smaller than the sum of its proper divisors (3300923808).

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

1157056992 is a wasteful number, since it uses less digits than its factorization.

1157056992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 95 counting only the distinct ones).

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

The square root of 1157056992 is about 34015.5404484480. The cubic root of 1157056992 is about 1049.8282385711.

The spelling of 1157056992 in words is "one billion, one hundred fifty-seven million, fifty-six thousand, nine hundred ninety-two".