18682266005040 has 320 divisors, whose sum is σ = 67497919856640. Its totient is φ = 4226623441920.

The previous prime is 18682266005027. The next prime is 18682266005099. The reversal of 18682266005040 is 4050066228681.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581217 + ... + 6140223.

It is an arithmetic number, because the mean of its divisors is an integer number (210930999552).

Almost surely, 2^{18682266005040} is an apocalyptic number.

18682266005040 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 18682266005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33748959928320).

18682266005040 is an abundant number, since it is smaller than the sum of its proper divisors (48815653851600).

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

18682266005040 is a wasteful number, since it uses less digits than its factorization.

18682266005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559120 (or 5559114 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 18682266005040 in words is "eighteen trillion, six hundred eighty-two billion, two hundred sixty-six million, five thousand, forty".