12629180160 has 216 divisors, whose sum is σ = 44251945920. Its totient is φ = 3324911616.

The previous prime is 12629180153. The next prime is 12629180171. The reversal of 12629180160 is 6108192621.

12629180160 is a `hidden beast` number, since 1 + 2 + 629 + 18 + 0 + 16 + 0 = 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, 903142 + ... + 917018.

It is an arithmetic number, because the mean of its divisors is an integer number (204870120).

Almost surely, 2^12629180160 is an apocalyptic number.

12629180160 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 12629180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22125972960).

12629180160 is an abundant number, since it is smaller than the sum of its proper divisors (31622765760).

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

12629180160 is a wasteful number, since it uses less digits than its factorization.

12629180160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13983 (or 13966 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 12629180160 in words is "twelve billion, six hundred twenty-nine million, one hundred eighty thousand, one hundred sixty".