15115427832960 has 3072 divisors, whose sum is σ = 69161444352000. Its totient is φ = 3134029086720.

The previous prime is 15115427832959. The next prime is 15115427833007. The reversal of 15115427832960 is 6923872451151.

15115427832960 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 542 + 7 + 8 + 3 + 2 + 96 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 15115427832897 and 15115427832906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 49235921127 + ... + 49235921433.

It is an arithmetic number, because the mean of its divisors is an integer number (22513491000).

It is a 1-persistent number, because it is pandigital, but 2⋅15115427832960 = 30230855665920 is not.

Almost surely, 2^{15115427832960} is an apocalyptic number.

15115427832960 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 15115427832960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34580722176000).

15115427832960 is an abundant number, since it is smaller than the sum of its proper divisors (54046016519040).

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

15115427832960 is an equidigital number, since it uses as much as digits as its factorization.

15115427832960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 15115427832960 in words is "fifteen trillion, one hundred fifteen billion, four hundred twenty-seven million, eight hundred thirty-two thousand, nine hundred sixty".