11667817728 has 108 divisors (see below), whose sum is σ = 38447133088. Its totient is φ = 3333657600.

The previous prime is 11667817717. The next prime is 11667817739. The reversal of 11667817728 is 82771876611.

It is an interprime number because it is at equal distance from previous prime (11667817717) and next prime (11667817739).

It is a super-2 number, since 2×11667817728² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 345598 + ... + 377853.

Almost surely, 2^11667817728 is an apocalyptic number.

11667817728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11667817728 is an abundant number, since it is smaller than the sum of its proper divisors (26779315360).

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

11667817728 is an equidigital number, since it uses as much as digits as its factorization.

11667817728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723480 (or 723463 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 54.

The spelling of 11667817728 in words is "eleven billion, six hundred sixty-seven million, eight hundred seventeen thousand, seven hundred twenty-eight".