128956734720 has 576 divisors, whose sum is σ = 503338106880. Its totient is φ = 31004467200.

The previous prime is 128956734707. The next prime is 128956734721. The reversal of 128956734720 is 27437659821.

It is a happy number.

128956734720 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 567 + 3 + 4 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128956734721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48278985 + ... + 48281655.

It is an arithmetic number, because the mean of its divisors is an integer number (873850880).

It is a 1-persistent number, because it is pandigital, but 2⋅128956734720 = 257913469440 is not.

Almost surely, 2^128956734720 is an apocalyptic number.

128956734720 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 128956734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251669053440).

128956734720 is an abundant number, since it is smaller than the sum of its proper divisors (374381372160).

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

128956734720 is a wasteful number, since it uses less digits than its factorization.

128956734720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 128956734720 in words is "one hundred twenty-eight billion, nine hundred fifty-six million, seven hundred thirty-four thousand, seven hundred twenty".