129083880960 has 800 divisors, whose sum is σ = 489396390912. Its totient is φ = 32467599360.

The previous prime is 129083880901. The next prime is 129083880967. The reversal of 129083880960 is 69088380921.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 129083880897 and 129083880906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129083880967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 276410647 + ... + 276411113.

Almost surely, 2^129083880960 is an apocalyptic number.

129083880960 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 129083880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244698195456).

129083880960 is an abundant number, since it is smaller than the sum of its proper divisors (360312509952).

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

129083880960 is an equidigital number, since it uses as much as digits as its factorization.

129083880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 129083880960 in words is "one hundred twenty-nine billion, eighty-three million, eight hundred eighty thousand, nine hundred sixty".