2018775118800 has 240 divisors, whose sum is σ = 7061591600640. Its totient is φ = 488922048000.

The previous prime is 2018775118757. The next prime is 2018775118807. The reversal of 2018775118800 is 88115778102.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2018775118800² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2018775118800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2018775118807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13535031 + ... + 13683369.

It is an arithmetic number, because the mean of its divisors is an integer number (29423298336).

Almost surely, 2^{2018775118800} is an apocalyptic number.

2018775118800 is a gapful number since it is divisible by the number (20) 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 2018775118800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530795800320).

2018775118800 is an abundant number, since it is smaller than the sum of its proper divisors (5042816481840).

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

2018775118800 is a wasteful number, since it uses less digits than its factorization.

2018775118800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149402 (or 149391 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 48.

The spelling of 2018775118800 in words is "two trillion, eighteen billion, seven hundred seventy-five million, one hundred eighteen thousand, eight hundred".