128678392800 has 288 divisors, whose sum is σ = 477967845600. Its totient is φ = 33386618880.

The previous prime is 128678392781. The next prime is 128678392841. The reversal of 128678392800 is 8293876821.

It is a happy number.

128678392800 is a `hidden beast` number, since 1 + 286 + 7 + 83 + 9 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 718696 + ... + 879704.

It is an arithmetic number, because the mean of its divisors is an integer number (1659610575).

Almost surely, 2^128678392800 is an apocalyptic number.

128678392800 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 128678392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238983922800).

128678392800 is an abundant number, since it is smaller than the sum of its proper divisors (349289452800).

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

128678392800 is a wasteful number, since it uses less digits than its factorization.

128678392800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161075 (or 161056 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 128678392800 in words is "one hundred twenty-eight billion, six hundred seventy-eight million, three hundred ninety-two thousand, eight hundred".