12610574172 has 72 divisors (see below), whose sum is σ = 36503341056. Its totient is φ = 3595821984.

The previous prime is 12610574117. The next prime is 12610574201. The reversal of 12610574172 is 27147501621.

12610574172 is a `hidden beast` number, since 1 + 2 + 6 + 10 + 574 + 1 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77013 + ... + 176499.

It is an arithmetic number, because the mean of its divisors is an integer number (506990848).

Almost surely, 2^12610574172 is an apocalyptic number.

12610574172 is a gapful number since it is divisible by the number (12) 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 12610574172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18251670528).

12610574172 is an abundant number, since it is smaller than the sum of its proper divisors (23892766884).

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

12610574172 is a wasteful number, since it uses less digits than its factorization.

12610574172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100007 (or 100002 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 12610574172 in words is "twelve billion, six hundred ten million, five hundred seventy-four thousand, one hundred seventy-two".