129510350038080 has 448 divisors, whose sum is σ = 498530615189760. Its totient is φ = 31389393715200.

The previous prime is 129510350038067. The next prime is 129510350038093. The reversal of 129510350038080 is 80830053015921.

129510350038080 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 103 + 500 + 38 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (129510350038067) and next prime (129510350038093).

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

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, 429144840 + ... + 429446520.

Almost surely, 2^{129510350038080} is an apocalyptic number.

129510350038080 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 129510350038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249265307594880).

129510350038080 is an abundant number, since it is smaller than the sum of its proper divisors (369020265151680).

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

129510350038080 is a wasteful number, since it uses less digits than its factorization.

129510350038080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306235 (or 306219 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 129510350038080 in words is "one hundred twenty-nine trillion, five hundred ten billion, three hundred fifty million, thirty-eight thousand, eighty".