216466240972800 has 4320 divisors, whose sum is σ = 967182763528800. Its totient is φ = 42451827425280.

The previous prime is 216466240972769. The next prime is 216466240972901. The reversal of 216466240972800 is 8279042664612.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4084268697574 + ... + 4084268697626.

It is an arithmetic number, because the mean of its divisors is an integer number (223884898965).

Almost surely, 2^{216466240972800} is an apocalyptic number.

216466240972800 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 216466240972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483591381764400).

216466240972800 is an abundant number, since it is smaller than the sum of its proper divisors (750716522556000).

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

216466240972800 is an equidigital number, since it uses as much as digits as its factorization.

216466240972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 57.

The spelling of 216466240972800 in words is "two hundred sixteen trillion, four hundred sixty-six billion, two hundred forty million, nine hundred seventy-two thousand, eight hundred".