1157068800 has 504 divisors, whose sum is σ = 4440028320. Its totient is φ = 298598400.

The previous prime is 1157068793. The next prime is 1157068813. The reversal of 1157068800 is 88607511.

1157068800 is a `hidden beast` number, since 1 + 1 + 570 + 6 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 37324785 + ... + 37324815.

It is an arithmetic number, because the mean of its divisors is an integer number (8809580).

Almost surely, 2^1157068800 is an apocalyptic number.

1157068800 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 1157068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220014160).

1157068800 is an abundant number, since it is smaller than the sum of its proper divisors (3282959520).

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

1157068800 is an frugal number, since it uses more digits than its factorization.

1157068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1157068800 is about 34015.7140157310. The cubic root of 1157068800 is about 1049.8318097952.

The spelling of 1157068800 in words is "one billion, one hundred fifty-seven million, sixty-eight thousand, eight hundred".