129007735350 has 192 divisors, whose sum is σ = 365283287040. Its totient is φ = 29900275200.

The previous prime is 129007735349. The next prime is 129007735361. The reversal of 129007735350 is 53537700921.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2207811 + ... + 2265489.

It is an arithmetic number, because the mean of its divisors is an integer number (1902517120).

Almost surely, 2^129007735350 is an apocalyptic number.

129007735350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129007735350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182641643520).

129007735350 is an abundant number, since it is smaller than the sum of its proper divisors (236275551690).

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

129007735350 is a wasteful number, since it uses less digits than its factorization.

129007735350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57775 (or 57770 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 129007735350 in words is "one hundred twenty-nine billion, seven million, seven hundred thirty-five thousand, three hundred fifty".