213104784816000 has 2048 divisors, whose sum is σ = 979515224064000. Its totient is φ = 44241085440000.

The previous prime is 213104784815969. The next prime is 213104784816013. The reversal of 213104784816000 is 618487401312.

213104784816000 is a `hidden beast` number, since 2 + 1 + 3 + 10 + 478 + 4 + 8 + 160 + 0 + 0 = 666.

It is a super-2 number, since 2×213104784816000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48532173805 + ... + 48532178195.

It is an arithmetic number, because the mean of its divisors is an integer number (478278918000).

Almost surely, 2^{213104784816000} is an apocalyptic number.

213104784816000 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 213104784816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489757612032000).

213104784816000 is an abundant number, since it is smaller than the sum of its proper divisors (766410439248000).

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

213104784816000 is a wasteful number, since it uses less digits than its factorization.

213104784816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5878 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 213104784816000 in words is "two hundred thirteen trillion, one hundred four billion, seven hundred eighty-four million, eight hundred sixteen thousand".