12715510960800 has 1728 divisors, whose sum is σ = 50492213291520. Its totient is φ = 3115217387520.

The previous prime is 12715510960787. The next prime is 12715510960853. The reversal of 12715510960800 is 806901551721.

12715510960800 is a `hidden beast` number, since 1 + 2 + 7 + 1 + 551 + 0 + 96 + 0 + 8 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 9803785752 + ... + 9803787048.

It is an arithmetic number, because the mean of its divisors is an integer number (29220030840).

Almost surely, 2^{12715510960800} is an apocalyptic number.

12715510960800 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 12715510960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25246106645760).

12715510960800 is an abundant number, since it is smaller than the sum of its proper divisors (37776702330720).

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

12715510960800 is a wasteful number, since it uses less digits than its factorization.

12715510960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1445 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 45.

The spelling of 12715510960800 in words is "twelve trillion, seven hundred fifteen billion, five hundred ten million, nine hundred sixty thousand, eight hundred".