15255242956800 has 2352 divisors, whose sum is σ = 70769250335232. Its totient is φ = 3167531827200.

The previous prime is 15255242956781. The next prime is 15255242956957. The reversal of 15255242956800 is 865924255251.

It is a happy number.

15255242956800 is a `hidden beast` number, since 1 + 5 + 2 + 5 + 52 + 4 + 29 + 568 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 11496037737 + ... + 11496039063.

Almost surely, 2^{15255242956800} is an apocalyptic number.

15255242956800 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 15255242956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35384625167616).

15255242956800 is an abundant number, since it is smaller than the sum of its proper divisors (55514007378432).

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

15255242956800 is an equidigital number, since it uses as much as digits as its factorization.

15255242956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1399 (or 1355 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 15255242956800 in words is "fifteen trillion, two hundred fifty-five billion, two hundred forty-two million, nine hundred fifty-six thousand, eight hundred".