1153089200 has 120 divisors (see below), whose sum is σ = 2854170000. Its totient is φ = 447482880.

The previous prime is 1153089187. The next prime is 1153089227. The reversal of 1153089200 is 29803511.

It is a super-2 number, since 2×1153089200² = 2659229406313280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2310551 + ... + 2311049.

It is an arithmetic number, because the mean of its divisors is an integer number (23784750).

Almost surely, 2^1153089200 is an apocalyptic number.

1153089200 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 1153089200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427085000).

1153089200 is an abundant number, since it is smaller than the sum of its proper divisors (1701080800).

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

1153089200 is a wasteful number, since it uses less digits than its factorization.

1153089200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 1153089200 is about 33957.1671374395. The cubic root of 1153089200 is about 1048.6268368925.

The spelling of 1153089200 in words is "one billion, one hundred fifty-three million, eighty-nine thousand, two hundred".