128957758020 has 576 divisors, whose sum is σ = 504531095040. Its totient is φ = 27183776256.

The previous prime is 128957758001. The next prime is 128957758051. The reversal of 128957758020 is 20857759821.

128957758020 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 57 + 7 + 580 + 2 + 0 = 666.

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

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, 117984594 + ... + 117985686.

It is an arithmetic number, because the mean of its divisors is an integer number (875922040).

Almost surely, 2^128957758020 is an apocalyptic number.

128957758020 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 128957758020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252265547520).

128957758020 is an abundant number, since it is smaller than the sum of its proper divisors (375573337020).

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

128957758020 is a wasteful number, since it uses less digits than its factorization.

128957758020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 128957758020 in words is "one hundred twenty-eight billion, nine hundred fifty-seven million, seven hundred fifty-eight thousand, twenty".