218256534720 has 392 divisors, whose sum is σ = 890553630624. Its totient is φ = 49886834688.

The previous prime is 218256534709. The next prime is 218256534739. The reversal of 218256534720 is 27435652812.

218256534720 is a `hidden beast` number, since 2 + 1 + 82 + 56 + 53 + 472 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1566132 + ... + 1699788.

Almost surely, 2^218256534720 is an apocalyptic number.

218256534720 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 218256534720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445276815312).

218256534720 is an abundant number, since it is smaller than the sum of its proper divisors (672297095904).

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

218256534720 is an equidigital number, since it uses as much as digits as its factorization.

218256534720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133699 (or 133674 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 218256534720 in words is "two hundred eighteen billion, two hundred fifty-six million, five hundred thirty-four thousand, seven hundred twenty".