11139309297504 has 288 divisors, whose sum is σ = 33164929744128. Its totient is φ = 3542206464000.

The previous prime is 11139309297497. The next prime is 11139309297521. The reversal of 11139309297504 is 40579290393111.

11139309297504 is a `hidden beast` number, since 1 + 1 + 13 + 9 + 30 + 9 + 2 + 97 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1708217764 + ... + 1708224284.

It is an arithmetic number, because the mean of its divisors is an integer number (115156006056).

Almost surely, 2^{11139309297504} 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 11139309297504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16582464872064).

11139309297504 is an abundant number, since it is smaller than the sum of its proper divisors (22025620446624).

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

11139309297504 is a wasteful number, since it uses less digits than its factorization.

11139309297504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9262 (or 9251 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 11139309297504 in words is "eleven trillion, one hundred thirty-nine billion, three hundred nine million, two hundred ninety-seven thousand, five hundred four".