11267185968 has 60 divisors (see below), whose sum is σ = 32347330680. Its totient is φ = 3754993248.

The previous prime is 11267185961. The next prime is 11267186023. The reversal of 11267185968 is 86958176211.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11267185968 is a `hidden beast` number, since 11 + 26 + 7 + 18 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11267185961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2203671 + ... + 2208777.

It is an arithmetic number, because the mean of its divisors is an integer number (539122178).

Almost surely, 2^11267185968 is an apocalyptic number.

11267185968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11267185968 is an abundant number, since it is smaller than the sum of its proper divisors (21080144712).

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

11267185968 is an frugal number, since it uses more digits than its factorization.

11267185968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10231 (or 5112 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 54.

The spelling of 11267185968 in words is "eleven billion, two hundred sixty-seven million, one hundred eighty-five thousand, nine hundred sixty-eight".