11727639456 has 96 divisors (see below), whose sum is σ = 33214624128. Its totient is φ = 3601812480.

The previous prime is 11727639437. The next prime is 11727639457. The reversal of 11727639456 is 65493672711.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11727639399 and 11727639408.

It is not an unprimeable number, because it can be changed into a prime (11727639457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686701 + ... + 703571.

It is an arithmetic number, because the mean of its divisors is an integer number (345985668).

Almost surely, 2^11727639456 is an apocalyptic number.

11727639456 is a gapful number since it is divisible by the number (16) 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 11727639456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607312064).

11727639456 is an abundant number, since it is smaller than the sum of its proper divisors (21486984672).

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

11727639456 is a wasteful number, since it uses less digits than its factorization.

11727639456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17454 (or 17446 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The spelling of 11727639456 in words is "eleven billion, seven hundred twenty-seven million, six hundred thirty-nine thousand, four hundred fifty-six".