12515826960 has 720 divisors, whose sum is σ = 54529478640. Its totient is φ = 2546933760.

The previous prime is 12515826907. The next prime is 12515826991. The reversal of 12515826960 is 6962851521.

12515826960 is a `hidden beast` number, since 1 + 2 + 5 + 1 + 582 + 6 + 9 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 462422016 + 12053404944 = 21504^2 + 109788^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13300090 + ... + 13301030.

It is an arithmetic number, because the mean of its divisors is an integer number (75735387).

Almost surely, 2^12515826960 is an apocalyptic number.

12515826960 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 12515826960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27264739320).

12515826960 is an abundant number, since it is smaller than the sum of its proper divisors (42013651680).

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

12515826960 is a wasteful number, since it uses less digits than its factorization.

12515826960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 12515826960 in words is "twelve billion, five hundred fifteen million, eight hundred twenty-six thousand, nine hundred sixty".