11007679296 has 112 divisors (see below), whose sum is σ = 30514917888. Its totient is φ = 3495360000.

The previous prime is 11007679289. The next prime is 11007679337. The reversal of 11007679296 is 69297670011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1103451 + ... + 1113381.

It is an arithmetic number, because the mean of its divisors is an integer number (272454624).

Almost surely, 2^11007679296 is an apocalyptic number.

11007679296 is a gapful number since it is divisible by the number (16) 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 11007679296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15257458944).

11007679296 is an abundant number, since it is smaller than the sum of its proper divisors (19507238592).

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

11007679296 is a wasteful number, since it uses less digits than its factorization.

11007679296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220 (or 10210 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 48.

The spelling of 11007679296 in words is "eleven billion, seven million, six hundred seventy-nine thousand, two hundred ninety-six".