129155031772800 has 1152 divisors, whose sum is σ = 505509413035200. Its totient is φ = 28860530688000.

The previous prime is 129155031772751. The next prime is 129155031772843. The reversal of 129155031772800 is 8277130551921.

It is a happy number.

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, 816525720 + ... + 816683880.

Almost surely, 2^{129155031772800} is an apocalyptic number.

129155031772800 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 129155031772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252754706517600).

129155031772800 is an abundant number, since it is smaller than the sum of its proper divisors (376354381262400).

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

129155031772800 is a wasteful number, since it uses less digits than its factorization.

129155031772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158266 (or 158238 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 51.

The spelling of 129155031772800 in words is "one hundred twenty-nine trillion, one hundred fifty-five billion, thirty-one million, seven hundred seventy-two thousand, eight hundred".