216245794089600 has 1728 divisors, whose sum is σ = 925526352254400. Its totient is φ = 49338608025600.

The previous prime is 216245794089571. The next prime is 216245794089613. The reversal of 216245794089600 is 6980497542612.

216245794089600 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 457 + 9 + 40 + 89 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×216245794089600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 3926074861 + ... + 3926129939.

It is an arithmetic number, because the mean of its divisors is an integer number (535605527925).

Almost surely, 2^{216245794089600} is an apocalyptic number.

216245794089600 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 216245794089600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462763176127200).

216245794089600 is an abundant number, since it is smaller than the sum of its proper divisors (709280558164800).

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

216245794089600 is an equidigital number, since it uses as much as digits as its factorization.

216245794089600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55155 (or 55117 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 216245794089600 in words is "two hundred sixteen trillion, two hundred forty-five billion, seven hundred ninety-four million, eighty-nine thousand, six hundred".