18806867712000 has 1920 divisors, whose sum is σ = 76668948195840. Its totient is φ = 4565237760000.

The previous prime is 18806867711977. The next prime is 18806867712013. The reversal of 18806867712000 is 21776860881.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×18806867712000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10927871140 + ... + 10927872860.

It is an arithmetic number, because the mean of its divisors is an integer number (39931743852).

Almost surely, 2^{18806867712000} is an apocalyptic number.

18806867712000 is a gapful number since it is divisible by the number (10) 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 18806867712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38334474097920).

18806867712000 is an abundant number, since it is smaller than the sum of its proper divisors (57862080483840).

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

18806867712000 is a wasteful number, since it uses less digits than its factorization.

18806867712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818 (or 1779 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18806867712000 in words is "eighteen trillion, eight hundred six billion, eight hundred sixty-seven million, seven hundred twelve thousand".