128861366400 has 768 divisors, whose sum is σ = 518891788800. Its totient is φ = 31032115200.

The previous prime is 128861366399. The next prime is 128861366407. The reversal of 128861366400 is 4663168821.

128861366400 is a `hidden beast` number, since 1 + 28 + 8 + 613 + 6 + 6 + 4 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (128861366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52789180 + ... + 52791620.

It is an arithmetic number, because the mean of its divisors is an integer number (675640350).

Almost surely, 2^128861366400 is an apocalyptic number.

128861366400 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 128861366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259445894400).

128861366400 is an abundant number, since it is smaller than the sum of its proper divisors (390030422400).

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

128861366400 is a wasteful number, since it uses less digits than its factorization.

128861366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534 (or 2511 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 128861366400 in words is "one hundred twenty-eight billion, eight hundred sixty-one million, three hundred sixty-six thousand, four hundred".