18875699377920 has 3456 divisors, whose sum is σ = 88430920058880. Its totient is φ = 3733475328000.

The previous prime is 18875699377919. The next prime is 18875699377979. The reversal of 18875699377920 is 2977399657881.

18875699377920 is a `hidden beast` number, since 1 + 8 + 8 + 75 + 6 + 99 + 377 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a self number, because there is not a number n which added to its sum of digits gives 18875699377920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 309437694690 + ... + 309437694750.

It is an arithmetic number, because the mean of its divisors is an integer number (25587650480).

Almost surely, 2^{18875699377920} is an apocalyptic number.

18875699377920 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 18875699377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215460029440).

18875699377920 is an abundant number, since it is smaller than the sum of its proper divisors (69555220680960).

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

18875699377920 is an equidigital number, since it uses as much as digits as its factorization.

18875699377920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2880541440, while the sum is 81.

The spelling of 18875699377920 in words is "eighteen trillion, eight hundred seventy-five billion, six hundred ninety-nine million, three hundred seventy-seven thousand, nine hundred twenty".