1152921600 has 390 divisors, whose sum is σ = 4301421740. Its totient is φ = 305233920.

The previous prime is 1152921571. The next prime is 1152921607. The reversal of 1152921600 is 61292511.

1152921600 is a `hidden beast` number, since 1 + 1 + 52 + 9 + 2 + 1 + 600 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1152921607) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8294331 + ... + 8294469.

Almost surely, 2^1152921600 is an apocalyptic number.

1152921600 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 1152921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150710870).

1152921600 is an abundant number, since it is smaller than the sum of its proper divisors (3148500140).

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

1152921600 is an equidigital number, since it uses as much as digits as its factorization.

1152921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1152921600 is about 33954.6992329486. The cubic root of 1152921600 is about 1048.5760289199.

The spelling of 1152921600 in words is "one billion, one hundred fifty-two million, nine hundred twenty-one thousand, six hundred".