18797459788800 has 3696 divisors, whose sum is σ = 88636835069952. Its totient is φ = 3837586636800.

The previous prime is 18797459788799. The next prime is 18797459788829. The reversal of 18797459788800 is 888795479781.

18797459788800 is a `hidden beast` number, since 1 + 8 + 7 + 9 + 7 + 459 + 7 + 88 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3696).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 18797459788800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 148011494337 + ... + 148011494463.

Almost surely, 2^{18797459788800} is an apocalyptic number.

18797459788800 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 18797459788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318417534976).

18797459788800 is an abundant number, since it is smaller than the sum of its proper divisors (69839375281152).

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

18797459788800 is a wasteful number, since it uses less digits than its factorization.

18797459788800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2275983360, while the sum is 81.

The spelling of 18797459788800 in words is "eighteen trillion, seven hundred ninety-seven billion, four hundred fifty-nine million, seven hundred eighty-eight thousand, eight hundred".