129152050560 has 768 divisors, whose sum is σ = 502992322560. Its totient is φ = 31478243328.

The previous prime is 129152050553. The next prime is 129152050571. The reversal of 129152050560 is 65050251921.

129152050560 is a `hidden beast` number, since 1 + 2 + 91 + 5 + 2 + 0 + 5 + 0 + 560 = 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 95 ways as a sum of consecutive naturals, for example, 256763269 + ... + 256763771.

It is an arithmetic number, because the mean of its divisors is an integer number (654937920).

Almost surely, 2^129152050560 is an apocalyptic number.

129152050560 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 129152050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251496161280).

129152050560 is an abundant number, since it is smaller than the sum of its proper divisors (373840272000).

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

129152050560 is a wasteful number, since it uses less digits than its factorization.

129152050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 129152050560 in words is "one hundred twenty-nine billion, one hundred fifty-two million, fifty thousand, five hundred sixty".