128869537763200 has 192 divisors, whose sum is σ = 343158975482400. Its totient is φ = 47537819688960.

The previous prime is 128869537763179. The next prime is 128869537763209. The reversal of 128869537763200 is 2367735968821.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128869537763209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42763686 + ... + 45677914.

Almost surely, 2^{128869537763200} is an apocalyptic number.

128869537763200 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 128869537763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171579487741200).

128869537763200 is an abundant number, since it is smaller than the sum of its proper divisors (214289437719200).

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

128869537763200 is a wasteful number, since it uses less digits than its factorization.

128869537763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915329 (or 2915312 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 128869537763200 in words is "one hundred twenty-eight trillion, eight hundred sixty-nine billion, five hundred thirty-seven million, seven hundred sixty-three thousand, two hundred".