128673997200 has 960 divisors, whose sum is σ = 542826923520. Its totient is φ = 28336988160.

The previous prime is 128673997189. The next prime is 128673997219. The reversal of 128673997200 is 2799376821.

128673997200 is a `hidden beast` number, since 1 + 286 + 73 + 9 + 97 + 200 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 439160254 + ... + 439160546.

It is an arithmetic number, because the mean of its divisors is an integer number (565444712).

Almost surely, 2^128673997200 is an apocalyptic number.

128673997200 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 128673997200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271413461760).

128673997200 is an abundant number, since it is smaller than the sum of its proper divisors (414152926320).

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

128673997200 is a wasteful number, since it uses less digits than its factorization.

128673997200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 128673997200 in words is "one hundred twenty-eight billion, six hundred seventy-three million, nine hundred ninety-seven thousand, two hundred".