128872126596672 has 1344 divisors, whose sum is σ = 432918700531200. Its totient is φ = 36377336217600.

The previous prime is 128872126596659. The next prime is 128872126596739. The reversal of 128872126596672 is 276695621278821.

128872126596672 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 7 + 2 + 1 + 26 + 596 + 6 + 7 + 2 = 666.

It is a super-2 number, since 2×128872126596672² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 128872126596672.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94273683733 + ... + 94273685099.

Almost surely, 2^{128872126596672} is an apocalyptic number.

128872126596672 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 128872126596672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216459350265600).

128872126596672 is an abundant number, since it is smaller than the sum of its proper divisors (304046573934528).

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

128872126596672 is a wasteful number, since it uses less digits than its factorization.

128872126596672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1711 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 128872126596672 in words is "one hundred twenty-eight trillion, eight hundred seventy-two billion, one hundred twenty-six million, five hundred ninety-six thousand, six hundred seventy-two".