11296015968 has 144 divisors (see below), whose sum is σ = 30919399056. Its totient is φ = 3610736640.

The previous prime is 11296015963. The next prime is 11296015987. The reversal of 11296015968 is 86951069211.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296015963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14612830 + ... + 14613602.

It is an arithmetic number, because the mean of its divisors is an integer number (214718049).

Almost surely, 2^11296015968 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 11296015968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15459699528).

11296015968 is an abundant number, since it is smaller than the sum of its proper divisors (19623383088).

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

11296015968 is a wasteful number, since it uses less digits than its factorization.

11296015968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 48.

The spelling of 11296015968 in words is "eleven billion, two hundred ninety-six million, fifteen thousand, nine hundred sixty-eight".