15255809352000 has 1344 divisors, whose sum is σ = 66626310516480. Its totient is φ = 3405846528000.

The previous prime is 15255809351987. The next prime is 15255809352001. The reversal of 15255809352000 is 25390855251.

It is a happy number.

15255809352000 is a `hidden beast` number, since 1 + 5 + 2 + 558 + 0 + 93 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15255809352001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 455095240 + ... + 455128760.

Almost surely, 2^{15255809352000} is an apocalyptic number.

15255809352000 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 15255809352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33313155258240).

15255809352000 is an abundant number, since it is smaller than the sum of its proper divisors (51370501164480).

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

15255809352000 is a wasteful number, since it uses less digits than its factorization.

15255809352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33614 (or 33581 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 15255809352000 in words is "fifteen trillion, two hundred fifty-five billion, eight hundred nine million, three hundred fifty-two thousand".