128299701600 has 576 divisors, whose sum is σ = 532195937280. Its totient is φ = 29221171200.

The previous prime is 128299701599. The next prime is 128299701661. The reversal of 128299701600 is 6107992821.

128299701600 is a `hidden beast` number, since 12 + 8 + 29 + 9 + 7 + 0 + 1 + 600 = 666.

It is a super-3 number, since 3×128299701600³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47324245 + ... + 47326955.

It is an arithmetic number, because the mean of its divisors is an integer number (923951280).

Almost surely, 2^128299701600 is an apocalyptic number.

128299701600 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 128299701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266097968640).

128299701600 is an abundant number, since it is smaller than the sum of its proper divisors (403896235680).

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

128299701600 is a wasteful number, since it uses less digits than its factorization.

128299701600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3060 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 128299701600 in words is "one hundred twenty-eight billion, two hundred ninety-nine million, seven hundred one thousand, six hundred".