1152166400 has 360 divisors, whose sum is σ = 3644204256. Its totient is φ = 356966400.

The previous prime is 1152166397. The next prime is 1152166427. The reversal of 1152166400 is 46612511.

It is a self number, because there is not a number n which added to its sum of digits gives 1152166400.

It is a congruent number.

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, 6899117 + ... + 6899283.

Almost surely, 2^1152166400 is an apocalyptic number.

1152166400 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 1152166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822102128).

1152166400 is an abundant number, since it is smaller than the sum of its proper divisors (2492037856).

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

1152166400 is a wasteful number, since it uses less digits than its factorization.

1152166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 1152166400 is about 33943.5767119495. The cubic root of 1152166400 is about 1048.3470287915.

Adding to 1152166400 its reverse (46612511), we get a palindrome (1198778911).

The spelling of 1152166400 in words is "one billion, one hundred fifty-two million, one hundred sixty-six thousand, four hundred".