1152949862400 has 360 divisors, whose sum is σ = 4356951970560. Its totient is φ = 263529431040.

The previous prime is 1152949862399. The next prime is 1152949862423. The reversal of 1152949862400 is 42689492511.

It is a happy number.

It is a congruent number.

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, 8534581 + ... + 8668619.

Almost surely, 2^{1152949862400} is an apocalyptic number.

1152949862400 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 1152949862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2178475985280).

1152949862400 is an abundant number, since it is smaller than the sum of its proper divisors (3204002108160).

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

1152949862400 is an equidigital number, since it uses as much as digits as its factorization.

1152949862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134087 (or 134056 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 1152949862400 in words is "one trillion, one hundred fifty-two billion, nine hundred forty-nine million, eight hundred sixty-two thousand, four hundred".