1150855200 has 324 divisors, whose sum is σ = 4464046314. Its totient is φ = 278784000.

The previous prime is 1150855193. The next prime is 1150855217. The reversal of 1150855200 is 25580511.

1150855200 is a `hidden beast` number, since 11 + 50 + 85 + 520 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1063020816 + 87834384 = 32604^2 + 9372^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870540 + ... + 871860.

Almost surely, 2^1150855200 is an apocalyptic number.

1150855200 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 1150855200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232023157).

1150855200 is an abundant number, since it is smaller than the sum of its proper divisors (3313191114).

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

1150855200 is a wasteful number, since it uses less digits than its factorization.

1150855200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The square root of 1150855200 is about 33924.2568083665. The cubic root of 1150855200 is about 1047.9491943593.

The spelling of 1150855200 in words is "one billion, one hundred fifty million, eight hundred fifty-five thousand, two hundred".