12613250100560 has 80 divisors (see below), whose sum is σ = 30362954682240. Its totient is φ = 4867163159040.

The previous prime is 12613250100553. The next prime is 12613250100667. The reversal of 12613250100560 is 6500105231621.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×12613250100560² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395309 + ... + 5038131.

It is an arithmetic number, because the mean of its divisors is an integer number (379536933528).

Almost surely, 2^{12613250100560} is an apocalyptic number.

12613250100560 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 12613250100560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15181477341120).

12613250100560 is an abundant number, since it is smaller than the sum of its proper divisors (17749704581680).

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

12613250100560 is a wasteful number, since it uses less digits than its factorization.

12613250100560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4644036 (or 4644030 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 12613250100560 in words is "twelve trillion, six hundred thirteen billion, two hundred fifty million, one hundred thousand, five hundred sixty".