15000055456800 has 288 divisors, whose sum is σ = 49271600790720. Its totient is φ = 3963462451200.

The previous prime is 15000055456723. The next prime is 15000055456861. The reversal of 15000055456800 is 865455000051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1347587235 + ... + 1347598365.

It is an arithmetic number, because the mean of its divisors is an integer number (171081947190).

Almost surely, 2^{15000055456800} is an apocalyptic number.

15000055456800 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 15000055456800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24635800395360).

15000055456800 is an abundant number, since it is smaller than the sum of its proper divisors (34271545333920).

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

15000055456800 is a wasteful number, since it uses less digits than its factorization.

15000055456800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16236 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 39.

The spelling of 15000055456800 in words is "fifteen trillion, fifty-five million, four hundred fifty-six thousand, eight hundred".