15207980724960 has 192 divisors, whose sum is σ = 49220673171264. Its totient is φ = 3944186265600.

The previous prime is 15207980724941. The next prime is 15207980724977. The reversal of 15207980724960 is 6942708970251.

15207980724960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 15207980724894 and 15207980724903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42106740 + ... + 42466380.

It is an arithmetic number, because the mean of its divisors is an integer number (256357672767).

Almost surely, 2^{15207980724960} is an apocalyptic number.

15207980724960 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 15207980724960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24610336585632).

15207980724960 is an abundant number, since it is smaller than the sum of its proper divisors (34012692446304).

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

15207980724960 is a wasteful number, since it uses less digits than its factorization.

15207980724960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362077 (or 362069 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 15207980724960 in words is "fifteen trillion, two hundred seven billion, nine hundred eighty million, seven hundred twenty-four thousand, nine hundred sixty".