129921466752 has 512 divisors, whose sum is σ = 498874982400. Its totient is φ = 32277104640.

The previous prime is 129921466693. The next prime is 129921466789. The reversal of 129921466752 is 257664129921.

It is a happy number.

129921466752 is a `hidden beast` number, since 1 + 2 + 99 + 21 + 466 + 75 + 2 = 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 63 ways as a sum of consecutive naturals, for example, 6109963 + ... + 6131189.

It is an arithmetic number, because the mean of its divisors is an integer number (974365200).

Almost surely, 2^129921466752 is an apocalyptic number.

129921466752 is a gapful number since it is divisible by the number (12) 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 129921466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249437491200).

129921466752 is an abundant number, since it is smaller than the sum of its proper divisors (368953515648).

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

129921466752 is a wasteful number, since it uses less digits than its factorization.

129921466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21291 (or 21273 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 129921466752 in words is "one hundred twenty-nine billion, nine hundred twenty-one million, four hundred sixty-six thousand, seven hundred fifty-two".