1151560800 has 360 divisors, whose sum is σ = 4525866576. Its totient is φ = 283253760.

The previous prime is 1151560789. The next prime is 1151560831. The reversal of 1151560800 is 80651511.

1151560800 is a `hidden beast` number, since 1 + 1 + 51 + 5 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 841717 + ... + 843083.

Almost surely, 2^1151560800 is an apocalyptic number.

1151560800 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 1151560800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2262933288).

1151560800 is an abundant number, since it is smaller than the sum of its proper divisors (3374305776).

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

1151560800 is a wasteful number, since it uses less digits than its factorization.

1151560800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 1151560800 is about 33934.6548531144. The cubic root of 1151560800 is about 1048.1633197289.

The spelling of 1151560800 in words is "one billion, one hundred fifty-one million, five hundred sixty thousand, eight hundred".