218853801600 has 384 divisors, whose sum is σ = 843932234880. Its totient is φ = 48803020800.

The previous prime is 218853801557. The next prime is 218853801601. The reversal of 218853801600 is 6108358812.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (218853801601) 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, 2715484 + ... + 2794916.

It is an arithmetic number, because the mean of its divisors is an integer number (2197740195).

Almost surely, 2^218853801600 is an apocalyptic number.

218853801600 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 218853801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421966117440).

218853801600 is an abundant number, since it is smaller than the sum of its proper divisors (625078433280).

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

218853801600 is a wasteful number, since it uses less digits than its factorization.

218853801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79508 (or 79491 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The spelling of 218853801600 in words is "two hundred eighteen billion, eight hundred fifty-three million, eight hundred one thousand, six hundred".