11306679756 has 48 divisors (see below), whose sum is σ = 27626774784. Its totient is φ = 3592264896.

The previous prime is 11306679739. The next prime is 11306679841. The reversal of 11306679756 is 65797660311.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11306679699 and 11306679708.

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 15 ways as a sum of consecutive naturals, for example, 5730 + ... + 150486.

It is an arithmetic number, because the mean of its divisors is an integer number (575557808).

Almost surely, 2^11306679756 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 11306679756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13813387392).

11306679756 is an abundant number, since it is smaller than the sum of its proper divisors (16320095028).

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

11306679756 is a wasteful number, since it uses less digits than its factorization.

11306679756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145070 (or 145068 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 11306679756 in words is "eleven billion, three hundred six million, six hundred seventy-nine thousand, seven hundred fifty-six".