1152096000 has 288 divisors, whose sum is σ = 4178393856. Its totient is φ = 279040000.

The previous prime is 1152095999. The next prime is 1152096019. The reversal of 1152096000 is 6902511.

1152096000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1055455 + ... + 1056545.

It is an arithmetic number, because the mean of its divisors is an integer number (14508312).

Almost surely, 2^1152096000 is an apocalyptic number.

1152096000 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 1152096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089196928).

1152096000 is an abundant number, since it is smaller than the sum of its proper divisors (3026297856).

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

1152096000 is a wasteful number, since it uses less digits than its factorization.

1152096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 1152096000 is about 33942.5396810551. The cubic root of 1152096000 is about 1048.3256762235.

Adding to 1152096000 its reverse (6902511), we get a palindrome (1158998511).

The spelling of 1152096000 in words is "one billion, one hundred fifty-two million, ninety-six thousand".