12175618560 has 640 divisors, whose sum is σ = 47705518080. Its totient is φ = 2588737536.

The previous prime is 12175618549. The next prime is 12175618561. The reversal of 12175618560 is 6581657121.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (12175618561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53168526 + ... + 53168754.

It is an arithmetic number, because the mean of its divisors is an integer number (74539872).

Almost surely, 2^12175618560 is an apocalyptic number.

12175618560 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 12175618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852759040).

12175618560 is an abundant number, since it is smaller than the sum of its proper divisors (35529899520).

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

12175618560 is a wasteful number, since it uses less digits than its factorization.

12175618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 42.

The spelling of 12175618560 in words is "twelve billion, one hundred seventy-five million, six hundred eighteen thousand, five hundred sixty".