216444509901360 has 2560 divisors, whose sum is σ = 868514971484160. Its totient is φ = 49161240576000.

The previous prime is 216444509901307. The next prime is 216444509901379. The reversal of 216444509901360 is 63109905444612.

216444509901360 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 44 + 509 + 90 + 1 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 216444509901297 and 216444509901306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 308765349010 + ... + 308765349710.

It is an arithmetic number, because the mean of its divisors is an integer number (339263660736).

Almost surely, 2^{216444509901360} is an apocalyptic number.

216444509901360 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 216444509901360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434257485742080).

216444509901360 is an abundant number, since it is smaller than the sum of its proper divisors (652070461582800).

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

216444509901360 is a wasteful number, since it uses less digits than its factorization.

216444509901360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 216444509901360 in words is "two hundred sixteen trillion, four hundred forty-four billion, five hundred nine million, nine hundred one thousand, three hundred sixty".