11296501216 has 192 divisors, whose sum is σ = 30275997696. Its totient is φ = 4006195200.

The previous prime is 11296501213. The next prime is 11296501217. The reversal of 11296501216 is 61210569211.

It is a happy number.

It is a super-2 number, since 2×11296501216² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296501213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2335921 + ... + 2340751.

It is an arithmetic number, because the mean of its divisors is an integer number (157687488).

Almost surely, 2^11296501216 is an apocalyptic number.

11296501216 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 11296501216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15137998848).

11296501216 is an abundant number, since it is smaller than the sum of its proper divisors (18979496480).

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

11296501216 is a wasteful number, since it uses less digits than its factorization.

11296501216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4937 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 11296501216 in words is "eleven billion, two hundred ninety-six million, five hundred one thousand, two hundred sixteen".