273753709145712 has 800 divisors, whose sum is σ = 842720051036160. Its totient is φ = 85666888120320.

The previous prime is 273753709145689. The next prime is 273753709145729. The reversal of 273753709145712 is 217541907357372.

273753709145712 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 53 + 7 + 0 + 9 + 1 + 4 + 571 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 273753709145712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 150166597633 + ... + 150166599455.

Almost surely, 2^{273753709145712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273753709145712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421360025518080).

273753709145712 is an abundant number, since it is smaller than the sum of its proper divisors (568966341890448).

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

273753709145712 is a wasteful number, since it uses less digits than its factorization.

273753709145712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2683 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 77792400, while the sum is 63.

The spelling of 273753709145712 in words is "two hundred seventy-three trillion, seven hundred fifty-three billion, seven hundred nine million, one hundred forty-five thousand, seven hundred twelve".