273049190400 has 600 divisors, whose sum is σ = 1065151857664. Its totient is φ = 60397977600.

The previous prime is 273049190389. The next prime is 273049190467. The reversal of 273049190400 is 4091940372.

It is a tau number, because it is divible by the number of its divisors (600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8808038385 + ... + 8808038415.

Almost surely, 2^273049190400 is an apocalyptic number.

273049190400 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 273049190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532575928832).

273049190400 is an abundant number, since it is smaller than the sum of its proper divisors (792102667264).

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

273049190400 is an frugal number, since it uses more digits than its factorization.

273049190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 273049190400 in words is "two hundred seventy-three billion, forty-nine million, one hundred ninety thousand, four hundred".