273401063712000 has 1728 divisors, whose sum is σ = 1161715527598080. Its totient is φ = 60416907264000.

The previous prime is 273401063711989. The next prime is 273401063712053. The reversal of 273401063712000 is 217360104372.

273401063712000 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 0 + 1 + 0 + 637 + 12 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 191 ways as a sum of consecutive naturals, for example, 107680606731 + ... + 107680609269.

Almost surely, 2^{273401063712000} is an apocalyptic number.

273401063712000 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 273401063712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580857763799040).

273401063712000 is an abundant number, since it is smaller than the sum of its proper divisors (888314463886080).

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

273401063712000 is a wasteful number, since it uses less digits than its factorization.

273401063712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4310 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 273401063712000 in words is "two hundred seventy-three trillion, four hundred one billion, sixty-three million, seven hundred twelve thousand".