11296267038 has 144 divisors (see below), whose sum is σ = 29000724480. Its totient is φ = 3167996832.

The previous prime is 11296267009. The next prime is 11296267043. The reversal of 11296267038 is 83076269211.

11296267038 is a `hidden beast` number, since 1 + 12 + 9 + 626 + 7 + 0 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11296266984 and 11296267002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15537831 + ... + 15538557.

It is an arithmetic number, because the mean of its divisors is an integer number (201393920).

Almost surely, 2^11296267038 is an apocalyptic number.

11296267038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11296267038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14500362240).

11296267038 is an abundant number, since it is smaller than the sum of its proper divisors (17704457442).

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

11296267038 is a wasteful number, since it uses less digits than its factorization.

11296267038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11296267038 in words is "eleven billion, two hundred ninety-six million, two hundred sixty-seven thousand, thirty-eight".