13720727560 has 64 divisors (see below), whose sum is σ = 31406137200. Its totient is φ = 5393433600.

The previous prime is 13720727549. The next prime is 13720727567. The reversal of 13720727560 is 6572702731.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 810768676 + 12909958884 = 28474^2 + 113622^2 .

It is a super-3 number, since 3×13720727560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (13720727567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3953506 + ... + 3956974.

Almost surely, 2^13720727560 is an apocalyptic number.

13720727560 is a gapful number since it is divisible by the number (10) 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 13720727560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15703068600).

13720727560 is an abundant number, since it is smaller than the sum of its proper divisors (17685409640).

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

13720727560 is a wasteful number, since it uses less digits than its factorization.

13720727560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5158 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 13720727560 in words is "thirteen billion, seven hundred twenty million, seven hundred twenty-seven thousand, five hundred sixty".