12905815507060 has 216 divisors, whose sum is σ = 34347090161664. Its totient is φ = 4056736037760.

The previous prime is 12905815507043. The next prime is 12905815507063. The reversal of 12905815507060 is 6070551850921.

12905815507060 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 (49).

It is a junction number, because it is equal to n+sod(n) for n = 12905815506995 and 12905815507013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12905815507063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10378797 + ... + 11555563.

It is an arithmetic number, because the mean of its divisors is an integer number (159014306304).

Almost surely, 2^{12905815507060} is an apocalyptic number.

12905815507060 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 12905815507060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17173545080832).

12905815507060 is an abundant number, since it is smaller than the sum of its proper divisors (21441274654604).

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

12905815507060 is a wasteful number, since it uses less digits than its factorization.

12905815507060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176859 (or 1176831 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 12905815507060 in words is "twelve trillion, nine hundred five billion, eight hundred fifteen million, five hundred seven thousand, sixty".