12885715107360 has 480 divisors, whose sum is σ = 46518400051200. Its totient is φ = 3358222737408.

The previous prime is 12885715107347. The next prime is 12885715107383. The reversal of 12885715107360 is 6370151758821.

12885715107360 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 57 + 1 + 510 + 73 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 12885715107297 and 12885715107306.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110218216 + ... + 110335064.

It is an arithmetic number, because the mean of its divisors is an integer number (96913333440).

Almost surely, 2^{12885715107360} is an apocalyptic number.

12885715107360 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 12885715107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23259200025600).

12885715107360 is an abundant number, since it is smaller than the sum of its proper divisors (33632684943840).

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

12885715107360 is a wasteful number, since it uses less digits than its factorization.

12885715107360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117070 (or 117053 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 12885715107360 in words is "twelve trillion, eight hundred eighty-five billion, seven hundred fifteen million, one hundred seven thousand, three hundred sixty".