1152104659200 has 324 divisors, whose sum is σ = 4493494304208. Its totient is φ = 279297945600.

The previous prime is 1152104659193. The next prime is 1152104659217. The reversal of 1152104659200 is 29564012511.

1152104659200 is a `hidden beast` number, since 1 + 1 + 5 + 21 + 0 + 46 + 592 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 275574 + ... + 1542773.

Almost surely, 2^{1152104659200} is an apocalyptic number.

1152104659200 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 1152104659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246747152104).

1152104659200 is an abundant number, since it is smaller than the sum of its proper divisors (3341389645008).

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

1152104659200 is a wasteful number, since it uses less digits than its factorization.

1152104659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818390 (or 1818368 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1152104659200 in words is "one trillion, one hundred fifty-two billion, one hundred four million, six hundred fifty-nine thousand, two hundred".