129458029050 has 288 divisors, whose sum is σ = 416944599552. Its totient is φ = 28176906240.

The previous prime is 129458029039. The next prime is 129458029069. The reversal of 129458029050 is 50920854921.

It is a happy number.

129458029050 is a `hidden beast` number, since 12 + 9 + 4 + 580 + 2 + 9 + 0 + 50 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129458028987 and 129458029005.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5466034 + ... + 5489666.

It is an arithmetic number, because the mean of its divisors is an integer number (1447724304).

Almost surely, 2^129458029050 is an apocalyptic number.

129458029050 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 129458029050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208472299776).

129458029050 is an abundant number, since it is smaller than the sum of its proper divisors (287486570502).

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

129458029050 is a wasteful number, since it uses less digits than its factorization.

129458029050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23742 (or 23734 counting only the distinct ones).

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

The spelling of 129458029050 in words is "one hundred twenty-nine billion, four hundred fifty-eight million, twenty-nine thousand, fifty".