273428812800 has 1584 divisors, whose sum is σ = 1183004991168. Its totient is φ = 59454259200.

The previous prime is 273428812751. The next prime is 273428812817. The reversal of 273428812800 is 8218824372.

273428812800 is a `hidden beast` number, since 2 + 73 + 428 + 81 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a super-3 number, since 3×273428812800³ (a number of 35 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1416729504 + ... + 1416729696.

Almost surely, 2^273428812800 is an apocalyptic number.

273428812800 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 273428812800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591502495584).

273428812800 is an abundant number, since it is smaller than the sum of its proper divisors (909576178368).

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

273428812800 is a wasteful number, since it uses less digits than its factorization.

273428812800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 273428812800 in words is "two hundred seventy-three billion, four hundred twenty-eight million, eight hundred twelve thousand, eight hundred".