273142882350 has 480 divisors, whose sum is σ = 839156915520. Its totient is φ = 65463552000.

The previous prime is 273142882277. The next prime is 273142882357. The reversal of 273142882350 is 53288241372.

273142882350 is a `hidden beast` number, since 2 + 7 + 3 + 14 + 288 + 2 + 350 = 666.

273142882350 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 273142882296 and 273142882305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273142882357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 332694940 + ... + 332695760.

It is an arithmetic number, because the mean of its divisors is an integer number (1748243574).

Almost surely, 2^273142882350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 273142882350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419578457760).

273142882350 is an abundant number, since it is smaller than the sum of its proper divisors (566014033170).

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

273142882350 is a wasteful number, since it uses less digits than its factorization.

273142882350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 273142882350 in words is "two hundred seventy-three billion, one hundred forty-two million, eight hundred eighty-two thousand, three hundred fifty".