129688352640 has 1024 divisors, whose sum is σ = 592572672000. Its totient is φ = 26011238400.

The previous prime is 129688352639. The next prime is 129688352711. The reversal of 129688352640 is 46253886921.

129688352640 is a `hidden beast` number, since 12 + 9 + 68 + 8 + 3 + 526 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38584560 + ... + 38587920.

It is an arithmetic number, because the mean of its divisors is an integer number (578684250).

Almost surely, 2^129688352640 is an apocalyptic number.

129688352640 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 129688352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296286336000).

129688352640 is an abundant number, since it is smaller than the sum of its proper divisors (462884319360).

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

129688352640 is a wasteful number, since it uses less digits than its factorization.

129688352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3436 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 129688352640 in words is "one hundred twenty-nine billion, six hundred eighty-eight million, three hundred fifty-two thousand, six hundred forty".