12749600160 has 576 divisors, whose sum is σ = 50820981120. Its totient is φ = 2876375040.

The previous prime is 12749600159. The next prime is 12749600167. The reversal of 12749600160 is 6100694721.

12749600160 is a `hidden beast` number, since 1 + 2 + 7 + 49 + 600 + 1 + 6 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12749600167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30428431 + ... + 30428849.

It is an arithmetic number, because the mean of its divisors is an integer number (88230870).

Almost surely, 2^12749600160 is an apocalyptic number.

12749600160 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 12749600160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410490560).

12749600160 is an abundant number, since it is smaller than the sum of its proper divisors (38071380960).

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

12749600160 is a wasteful number, since it uses less digits than its factorization.

12749600160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 12749600160 in words is "twelve billion, seven hundred forty-nine million, six hundred thousand, one hundred sixty".