18106887680 has 320 divisors, whose sum is σ = 53651030400. Its totient is φ = 5838077952.

The previous prime is 18106887679. The next prime is 18106887683. The reversal of 18106887680 is 8678860181.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×18106887680² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18106887683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14926754 + ... + 14927966.

It is an arithmetic number, because the mean of its divisors is an integer number (167659470).

Almost surely, 2^18106887680 is an apocalyptic number.

18106887680 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 18106887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825515200).

18106887680 is an abundant number, since it is smaller than the sum of its proper divisors (35544142720).

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

18106887680 is an equidigital number, since it uses as much as digits as its factorization.

18106887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 53.

The spelling of 18106887680 in words is "eighteen billion, one hundred six million, eight hundred eighty-seven thousand, six hundred eighty".