273325213057080 has 512 divisors, whose sum is σ = 943512418713600. Its totient is φ = 62883910656000.

The previous prime is 273325213057073. The next prime is 273325213057087. The reversal of 273325213057080 is 80750312523372.

It is an interprime number because it is at equal distance from previous prime (273325213057073) and next prime (273325213057087).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273325213057087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15311470155 + ... + 15311488005.

It is an arithmetic number, because the mean of its divisors is an integer number (1842797692800).

Almost surely, 2^{273325213057080} is an apocalyptic number.

273325213057080 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 273325213057080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471756209356800).

273325213057080 is an abundant number, since it is smaller than the sum of its proper divisors (670187205656520).

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

273325213057080 is a wasteful number, since it uses less digits than its factorization.

273325213057080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30675 (or 30671 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 48.

The spelling of 273325213057080 in words is "two hundred seventy-three trillion, three hundred twenty-five billion, two hundred thirteen million, fifty-seven thousand, eighty".