129232995840 has 960 divisors, whose sum is σ = 501897876480. Its totient is φ = 30532239360.

The previous prime is 129232995821. The next prime is 129232995841. The reversal of 129232995840 is 48599232921.

129232995840 is a `hidden beast` number, since 1 + 29 + 2 + 32 + 9 + 9 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129232995841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1254689229 + ... + 1254689331.

It is an arithmetic number, because the mean of its divisors is an integer number (522810288).

Almost surely, 2^129232995840 is an apocalyptic number.

129232995840 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 129232995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250948938240).

129232995840 is an abundant number, since it is smaller than the sum of its proper divisors (372664880640).

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

129232995840 is a wasteful number, since it uses less digits than its factorization.

129232995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 129232995840 in words is "one hundred twenty-nine billion, two hundred thirty-two million, nine hundred ninety-five thousand, eight hundred forty".