273985044480 has 960 divisors, whose sum is σ = 1147560480000. Its totient is φ = 61832429568.

The previous prime is 273985044433. The next prime is 273985044547. The reversal of 273985044480 is 84440589372.

273985044480 is a `hidden beast` number, since 2 + 7 + 3 + 98 + 504 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×273985044480³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3468165081 + ... + 3468165159.

It is an arithmetic number, because the mean of its divisors is an integer number (1195375500).

Almost surely, 2^273985044480 is an apocalyptic number.

273985044480 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 273985044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573780240000).

273985044480 is an abundant number, since it is smaller than the sum of its proper divisors (873575435520).

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

273985044480 is an frugal number, since it uses more digits than its factorization.

273985044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 273985044480 in words is "two hundred seventy-three billion, nine hundred eighty-five million, forty-four thousand, four hundred eighty".