727056000000 has 1848 divisors, whose sum is σ = 3143384139168. Its totient is φ = 165888000000.

The previous prime is 727055999993. The next prime is 727056000001. The reversal of 727056000000 is 650727.

It is a super-2 number, since 2×727056000000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (727056000001) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 42767999992 + ... + 42768000008.

Almost surely, 2^727056000000 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 727056000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571692069584).

727056000000 is an abundant number, since it is smaller than the sum of its proper divisors (2416328139168).

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

727056000000 is an frugal number, since it uses more digits than its factorization.

727056000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

Adding to 727056000000 its reverse (650727), we get a palindrome (727056650727).

The spelling of 727056000000 in words is "seven hundred twenty-seven billion, fifty-six million", and thus it is an aban number.