12610184146560 has 5376 divisors, whose sum is σ = 63928248606720. Its totient is φ = 2305776844800.

The previous prime is 12610184146543. The next prime is 12610184146589. The reversal of 12610184146560 is 6564148101621.

12610184146560 is a `hidden beast` number, since 1 + 2 + 6 + 1 + 0 + 1 + 8 + 41 + 46 + 560 = 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 671 ways as a sum of consecutive naturals, for example, 188211703647 + ... + 188211703713.

Almost surely, 2^{12610184146560} is an apocalyptic number.

12610184146560 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 12610184146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964124303360).

12610184146560 is an abundant number, since it is smaller than the sum of its proper divisors (51318064460160).

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

12610184146560 is a wasteful number, since it uses less digits than its factorization.

12610184146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12610184146560 in words is "twelve trillion, six hundred ten billion, one hundred eighty-four million, one hundred forty-six thousand, five hundred sixty".