11667381214800 has 60 divisors (see below), whose sum is σ = 37374511161920. Its totient is φ = 3111301656960.

The previous prime is 11667381214793. The next prime is 11667381214807. The reversal of 11667381214800 is 841218376611.

It is an interprime number because it is at equal distance from previous prime (11667381214793) and next prime (11667381214807).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×11667381214800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 11667381214800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667381214807) 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, 4861407640 + ... + 4861410039.

Almost surely, 2^{11667381214800} is an apocalyptic number.

11667381214800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11667381214800 is an abundant number, since it is smaller than the sum of its proper divisors (25707129947120).

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

11667381214800 is a wasteful number, since it uses less digits than its factorization.

11667381214800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722817700 (or 9722817689 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 11667381214800 in words is "eleven trillion, six hundred sixty-seven billion, three hundred eighty-one million, two hundred fourteen thousand, eight hundred".