272778278400 has 960 divisors, whose sum is σ = 1034300467200. Its totient is φ = 70389596160.

The previous prime is 272778278389. The next prime is 272778278429. The reversal of 272778278400 is 4872877272.

272778278400 is a `hidden beast` number, since 27 + 2 + 77 + 82 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2648332749 + ... + 2648332851.

It is an arithmetic number, because the mean of its divisors is an integer number (1077396320).

Almost surely, 2^272778278400 is an apocalyptic number.

272778278400 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 272778278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517150233600).

272778278400 is an abundant number, since it is smaller than the sum of its proper divisors (761522188800).

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

272778278400 is a wasteful number, since it uses less digits than its factorization.

272778278400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 4917248, while the sum is 54.

The spelling of 272778278400 in words is "two hundred seventy-two billion, seven hundred seventy-eight million, two hundred seventy-eight thousand, four hundred".