129316642560 has 1440 divisors, whose sum is σ = 565275820032. Its totient is φ = 27590492160.

The previous prime is 129316642549. The next prime is 129316642603. The reversal of 129316642560 is 65246613921.

129316642560 is a `hidden beast` number, since 1 + 2 + 9 + 3 + 166 + 425 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1018241217 + ... + 1018241343.

Almost surely, 2^129316642560 is an apocalyptic number.

129316642560 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 129316642560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282637910016).

129316642560 is an abundant number, since it is smaller than the sum of its proper divisors (435959177472).

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

129316642560 is a wasteful number, since it uses less digits than its factorization.

129316642560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 129316642560 in words is "one hundred twenty-nine billion, three hundred sixteen million, six hundred forty-two thousand, five hundred sixty".