1157956800 has 672 divisors, whose sum is σ = 5122005504. Its totient is φ = 221184000.

The previous prime is 1157956777. The next prime is 1157956823. The reversal of 1157956800 is 86597511.

It is an interprime number because it is at equal distance from previous prime (1157956777) and next prime (1157956823).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 4804680 + ... + 4804920.

It is an arithmetic number, because the mean of its divisors is an integer number (7622032).

Almost surely, 2^1157956800 is an apocalyptic number.

1157956800 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 1157956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561002752).

1157956800 is an abundant number, since it is smaller than the sum of its proper divisors (3964048704).

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

1157956800 is a wasteful number, since it uses less digits than its factorization.

1157956800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The square root of 1157956800 is about 34028.7643031598. The cubic root of 1157956800 is about 1050.1003078775.

The spelling of 1157956800 in words is "one billion, one hundred fifty-seven million, nine hundred fifty-six thousand, eight hundred".