218200780800 has 1092 divisors, whose sum is σ = 843708385120. Its totient is φ = 55897620480.

The previous prime is 218200780769. The next prime is 218200780829. The reversal of 218200780800 is 8087002812.

It is a super-2 number, since 2×218200780800² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2762035161 + ... + 2762035239.

Almost surely, 2^218200780800 is an apocalyptic number.

218200780800 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 218200780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421854192560).

218200780800 is an abundant number, since it is smaller than the sum of its proper divisors (625507604320).

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

218200780800 is an frugal number, since it uses more digits than its factorization.

218200780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The spelling of 218200780800 in words is "two hundred eighteen billion, two hundred million, seven hundred eighty thousand, eight hundred".