11727638590096 has 135 divisors (see below), whose sum is σ = 27049266107913. Its totient is φ = 4919865624960.

The previous prime is 11727638590049. The next prime is 11727638590121. The reversal of 11727638590096 is 69009583672711.

The square root of 11727638590096 is 3424564.

It is a perfect power (a square), and thus also a powerful number.

11727638590096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1734857779600 + 9992780810496 = 1317140^2 + 3161136^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1958847615 + ... + 1958853601.

Almost surely, 2^{11727638590096} is an apocalyptic number.

11727638590096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11727638590096 is the 3424564-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11727638590096

11727638590096 is an abundant number, since it is smaller than the sum of its proper divisors (15321627517817).

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

11727638590096 is an frugal number, since it uses more digits than its factorization.

11727638590096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12030 (or 6013 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 64.

Multiplying 11727638590096 by its sum of digits (64), we get a square (750568869766144 = 27396512²).

The spelling of 11727638590096 in words is "eleven trillion, seven hundred twenty-seven billion, six hundred thirty-eight million, five hundred ninety thousand, ninety-six".