11956985104 has 15 divisors (see below), whose sum is σ = 23167506117. Its totient is φ = 5978273856.

The previous prime is 11956985081. The next prime is 11956985119. The reversal of 11956985104 is 40158965911.

It is a happy number.

The square root of 11956985104 is 109348.

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

It can be written as a sum of positive squares in only one way, i.e., 11197872400 + 759112704 = 105820^2 + 27552^2 .

It is a Duffinian number.

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 2 ways as a sum of consecutive naturals, for example, 423724 + ... + 451060.

Almost surely, 2^11956985104 is an apocalyptic number.

11956985104 is the 109348-th square number.

It is an amenable number.

11956985104 is a deficient number, since it is larger than the sum of its proper divisors (11210521013).

11956985104 is an frugal number, since it uses more digits than its factorization.

11956985104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54682 (or 27339 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 49.

Multiplying 11956985104 by its sum of digits (49), we get a square (585892270096 = 765436²).

The spelling of 11956985104 in words is "eleven billion, nine hundred fifty-six million, nine hundred eighty-five thousand, one hundred four".