128056683899520 has 384 divisors, whose sum is σ = 443622318497280. Its totient is φ = 34038441369600.

The previous prime is 128056683899471. The next prime is 128056683899537. The reversal of 128056683899520 is 25998386650821.

128056683899520 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 5 + 6 + 6 + 8 + 3 + 8 + 99 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2531189425 + ... + 2531240015.

It is an arithmetic number, because the mean of its divisors is an integer number (1155266454420).

Almost surely, 2^{128056683899520} is an apocalyptic number.

128056683899520 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 128056683899520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221811159248640).

128056683899520 is an abundant number, since it is smaller than the sum of its proper divisors (315565634597760).

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

128056683899520 is a wasteful number, since it uses less digits than its factorization.

128056683899520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52024 (or 52009 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 72.

The spelling of 128056683899520 in words is "one hundred twenty-eight trillion, fifty-six billion, six hundred eighty-three million, eight hundred ninety-nine thousand, five hundred twenty".