216264556800 has 432 divisors, whose sum is σ = 802862432960. Its totient is φ = 57666816000.

The previous prime is 216264556769. The next prime is 216264556801. The reversal of 216264556800 is 8655462612.

216264556800 is a `hidden beast` number, since 2 + 16 + 2 + 6 + 4 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (216264556801) 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, 13989075 + ... + 14004525.

Almost surely, 2^216264556800 is an apocalyptic number.

216264556800 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 216264556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401431216480).

216264556800 is an abundant number, since it is smaller than the sum of its proper divisors (586597876160).

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

216264556800 is an frugal number, since it uses more digits than its factorization.

216264556800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15498 (or 15461 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 216264556800 in words is "two hundred sixteen billion, two hundred sixty-four million, five hundred fifty-six thousand, eight hundred".