18798074265600 has 1728 divisors, whose sum is σ = 79886086963200. Its totient is φ = 4245034106880.

The previous prime is 18798074265563. The next prime is 18798074265637. The reversal of 18798074265600 is 656247089781.

18798074265600 is a `hidden beast` number, since 1 + 8 + 79 + 80 + 7 + 426 + 5 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (18798074265563) and next prime (18798074265637).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78653030281 + ... + 78653030519.

It is an arithmetic number, because the mean of its divisors is an integer number (46230374400).

Almost surely, 2^{18798074265600} is an apocalyptic number.

18798074265600 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 18798074265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39943043481600).

18798074265600 is an abundant number, since it is smaller than the sum of its proper divisors (61088012697600).

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

18798074265600 is an equidigital number, since it uses as much as digits as its factorization.

18798074265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 18798074265600 in words is "eighteen trillion, seven hundred ninety-eight billion, seventy-four million, two hundred sixty-five thousand, six hundred".