18106551540 has 384 divisors, whose sum is σ = 71672832000. Its totient is φ = 3761976960.

The previous prime is 18106551523. The next prime is 18106551571. The reversal of 18106551540 is 4515560181.

18106551540 is a `hidden beast` number, since 1 + 8 + 1 + 0 + 65 + 51 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18106551495 and 18106551504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2032977 + ... + 2041863.

It is an arithmetic number, because the mean of its divisors is an integer number (186648000).

Almost surely, 2^18106551540 is an apocalyptic number.

18106551540 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 18106551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35836416000).

18106551540 is an abundant number, since it is smaller than the sum of its proper divisors (53566280460).

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

18106551540 is a wasteful number, since it uses less digits than its factorization.

18106551540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8937 (or 8915 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The spelling of 18106551540 in words is "eighteen billion, one hundred six million, five hundred fifty-one thousand, five hundred forty".