278128128800 has 72 divisors (see below), whose sum is σ = 679380930900. Its totient is φ = 111185607680.

The previous prime is 278128128769. The next prime is 278128128827. The reversal of 278128128800 is 8821821872.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4971378064 + 273156750736 = 70508^2 + 522644^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1265486 + ... + 1468914.

Almost surely, 2^278128128800 is an apocalyptic number.

278128128800 is a gapful number since it is divisible by the number (20) 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 278128128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339690465450).

278128128800 is an abundant number, since it is smaller than the sum of its proper divisors (401252802100).

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

278128128800 is a wasteful number, since it uses less digits than its factorization.

278128128800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205158 (or 205145 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 47.

The spelling of 278128128800 in words is "two hundred seventy-eight billion, one hundred twenty-eight million, one hundred twenty-eight thousand, eight hundred".