129054828672 has 288 divisors, whose sum is σ = 466516290240. Its totient is φ = 33520481280.

The previous prime is 129054828611. The next prime is 129054828689. The reversal of 129054828672 is 276828450921.

129054828672 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 548 + 28 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 909613 + ... + 1041875.

It is an arithmetic number, because the mean of its divisors is an integer number (1619848230).

Almost surely, 2^129054828672 is an apocalyptic number.

129054828672 is a gapful number since it is divisible by the number (12) 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 129054828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233258145120).

129054828672 is an abundant number, since it is smaller than the sum of its proper divisors (337461461568).

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

129054828672 is a wasteful number, since it uses less digits than its factorization.

129054828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132312 (or 132286 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 129054828672 in words is "one hundred twenty-nine billion, fifty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".