11267291856 has 80 divisors (see below), whose sum is σ = 29455864704. Its totient is φ = 3710902272.

The previous prime is 11267291831. The next prime is 11267291873. The reversal of 11267291856 is 65819276211.

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, 3457780 + ... + 3461036.

Almost surely, 2^11267291856 is an apocalyptic number.

11267291856 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 11267291856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14727932352).

11267291856 is an abundant number, since it is smaller than the sum of its proper divisors (18188572848).

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

11267291856 is a wasteful number, since it uses less digits than its factorization.

11267291856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4102 counting only the distinct ones).

The product of its digits is 362880, while the sum is 48.

The spelling of 11267291856 in words is "eleven billion, two hundred sixty-seven million, two hundred ninety-one thousand, eight hundred fifty-six".