11261150616604 has 96 divisors (see below), whose sum is σ = 23814261757440. Its totient is φ = 4551655680000.

The previous prime is 11261150616593. The next prime is 11261150616629. The reversal of 11261150616604 is 40661605116211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416803704 + ... + 416830720.

It is an arithmetic number, because the mean of its divisors is an integer number (248065226640).

Almost surely, 2^{11261150616604} is an apocalyptic number.

11261150616604 is a gapful number since it is divisible by the number (14) 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 11261150616604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907130878720).

11261150616604 is an abundant number, since it is smaller than the sum of its proper divisors (12553111140836).

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

11261150616604 is a wasteful number, since it uses less digits than its factorization.

11261150616604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30539 (or 30537 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The spelling of 11261150616604 in words is "eleven trillion, two hundred sixty-one billion, one hundred fifty million, six hundred sixteen thousand, six hundred four".