129457078956000 has 384 divisors, whose sum is σ = 478948771566720. Its totient is φ = 33955953408000.

The previous prime is 129457078955987. The next prime is 129457078956067. The reversal of 129457078956000 is 659870754921.

129457078956000 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 570 + 7 + 8 + 9 + 56 + 0 + 0 + 0 = 666.

It is a congruent number.

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, 3237219 + ... + 16413218.

It is an arithmetic number, because the mean of its divisors is an integer number (1247262425955).

Almost surely, 2^{129457078956000} is an apocalyptic number.

129457078956000 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 129457078956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239474385783360).

129457078956000 is an abundant number, since it is smaller than the sum of its proper divisors (349491692610720).

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

129457078956000 is a wasteful number, since it uses less digits than its factorization.

129457078956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19650532 (or 19650508 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 129457078956000 in words is "one hundred twenty-nine trillion, four hundred fifty-seven billion, seventy-eight million, nine hundred fifty-six thousand".