129292640640 has 576 divisors, whose sum is σ = 475551760320. Its totient is φ = 33592320000.

The previous prime is 129292640591. The next prime is 129292640647. The reversal of 129292640640 is 46046292921.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129292640647) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172160265 + ... + 172161015.

It is an arithmetic number, because the mean of its divisors is an integer number (825610695).

Almost surely, 2^129292640640 is an apocalyptic number.

129292640640 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 129292640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237775880160).

129292640640 is an abundant number, since it is smaller than the sum of its proper divisors (346259119680).

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

129292640640 is an frugal number, since it uses more digits than its factorization.

129292640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 129292640640 in words is "one hundred twenty-nine billion, two hundred ninety-two million, six hundred forty thousand, six hundred forty".