213308638583040 has 2304 divisors, whose sum is σ = 1023764843888640. Its totient is φ = 40614796984320.

The previous prime is 213308638582981. The next prime is 213308638583057. The reversal of 213308638583040 is 40385836803312.

It is a happy number.

213308638583040 is a `hidden beast` number, since 2 + 13 + 3 + 0 + 8 + 6 + 3 + 8 + 583 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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, 4739432217 + ... + 4739477223.

It is an arithmetic number, because the mean of its divisors is an integer number (444342380160).

Almost surely, 2^{213308638583040} is an apocalyptic number.

213308638583040 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 213308638583040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511882421944320).

213308638583040 is an abundant number, since it is smaller than the sum of its proper divisors (810456205305600).

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

213308638583040 is a wasteful number, since it uses less digits than its factorization.

213308638583040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45205 (or 45185 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 213308638583040 in words is "two hundred thirteen trillion, three hundred eight billion, six hundred thirty-eight million, five hundred eighty-three thousand, forty".