18419985006200 has 192 divisors, whose sum is σ = 44993093293440. Its totient is φ = 7004876820480.

The previous prime is 18419985006161. The next prime is 18419985006253. The reversal of 18419985006200 is 260058991481.

It is a Cunningham number, because it is equal to 4291851²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214549682 + ... + 214635518.

It is an arithmetic number, because the mean of its divisors is an integer number (234339027570).

Almost surely, 2^{18419985006200} is an apocalyptic number.

18419985006200 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 18419985006200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22496546646720).

18419985006200 is an abundant number, since it is smaller than the sum of its proper divisors (26573108287240).

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

18419985006200 is a wasteful number, since it uses less digits than its factorization.

18419985006200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86554 (or 86545 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 53.

The spelling of 18419985006200 in words is "eighteen trillion, four hundred nineteen billion, nine hundred eighty-five million, six thousand, two hundred".