218475020400 has 720 divisors, whose sum is σ = 879393786624. Its totient is φ = 45388062720.

The previous prime is 218475020381. The next prime is 218475020437. The reversal of 218475020400 is 4020574812.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95112052 + ... + 95114348.

Almost surely, 2^218475020400 is an apocalyptic number.

218475020400 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 218475020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439696893312).

218475020400 is an abundant number, since it is smaller than the sum of its proper divisors (660918766224).

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

218475020400 is a wasteful number, since it uses less digits than its factorization.

218475020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 218475020400 in words is "two hundred eighteen billion, four hundred seventy-five million, twenty thousand, four hundred".