213885315072 has 576 divisors, whose sum is σ = 750289176000. Its totient is φ = 59803729920.

The previous prime is 213885315019. The next prime is 213885315139. The reversal of 213885315072 is 270513588312.

213885315072 is a `hidden beast` number, since 2 + 1 + 38 + 85 + 31 + 507 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 86979379 + ... + 86981837.

It is an arithmetic number, because the mean of its divisors is an integer number (1302585375).

Almost surely, 2^213885315072 is an apocalyptic number.

213885315072 is a gapful number since it is divisible by the number (22) 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 213885315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375144588000).

213885315072 is an abundant number, since it is smaller than the sum of its proper divisors (536403860928).

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

213885315072 is a wasteful number, since it uses less digits than its factorization.

213885315072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 213885315072 in words is "two hundred thirteen billion, eight hundred eighty-five million, three hundred fifteen thousand, seventy-two".