15280608645120 has 1664 divisors, whose sum is σ = 62683032158208. Its totient is φ = 3091621478400.

The previous prime is 15280608645109. The next prime is 15280608645161. The reversal of 15280608645120 is 2154680608251.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 15280608645120.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22705213104 + ... + 22705213776.

Almost surely, 2^{15280608645120} is an apocalyptic number.

15280608645120 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 15280608645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31341516079104).

15280608645120 is an abundant number, since it is smaller than the sum of its proper divisors (47402423513088).

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

15280608645120 is a wasteful number, since it uses less digits than its factorization.

15280608645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 15280608645120 in words is "fifteen trillion, two hundred eighty billion, six hundred eight million, six hundred forty-five thousand, one hundred twenty".