213007388319360 has 384 divisors, whose sum is σ = 760948310304000. Its totient is φ = 54840133017600.

The previous prime is 213007388319337. The next prime is 213007388319403. The reversal of 213007388319360 is 63913883700312.

213007388319360 is a `hidden beast` number, since 2 + 1 + 300 + 73 + 8 + 83 + 193 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 213007388319297 and 213007388319306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4770473035 + ... + 4770517685.

It is an arithmetic number, because the mean of its divisors is an integer number (1981636224750).

Almost surely, 2^{213007388319360} is an apocalyptic number.

213007388319360 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 213007388319360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380474155152000).

213007388319360 is an abundant number, since it is smaller than the sum of its proper divisors (547940921984640).

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

213007388319360 is a wasteful number, since it uses less digits than its factorization.

213007388319360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73264 (or 73249 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 213007388319360 in words is "two hundred thirteen trillion, seven billion, three hundred eighty-eight million, three hundred nineteen thousand, three hundred sixty".