11405712696 has 128 divisors (see below), whose sum is σ = 35101900800. Its totient is φ = 3016506240.

The previous prime is 11405712677. The next prime is 11405712697. The reversal of 11405712696 is 69621750411.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405712697) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 72175 + ... + 167393.

It is an arithmetic number, because the mean of its divisors is an integer number (274233600).

Almost surely, 2^11405712696 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 11405712696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17550950400).

11405712696 is an abundant number, since it is smaller than the sum of its proper divisors (23696188104).

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

11405712696 is a wasteful number, since it uses less digits than its factorization.

11405712696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95289 (or 95285 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 11405712696 in words is "eleven billion, four hundred five million, seven hundred twelve thousand, six hundred ninety-six".