213920652672 has 256 divisors, whose sum is σ = 640628870400. Its totient is φ = 71142935040.

The previous prime is 213920652667. The next prime is 213920652823. The reversal of 213920652672 is 276256029312.

213920652672 is a `hidden beast` number, since 2 + 1 + 39 + 20 + 6 + 526 + 72 = 666.

It is a super-2 number, since 2×213920652672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220309147 + ... + 220310117.

It is an arithmetic number, because the mean of its divisors is an integer number (2502456525).

Almost surely, 2^213920652672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213920652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320314435200).

213920652672 is an abundant number, since it is smaller than the sum of its proper divisors (426708217728).

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

213920652672 is an frugal number, since it uses more digits than its factorization.

213920652672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1793 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 213920652672 in words is "two hundred thirteen billion, nine hundred twenty million, six hundred fifty-two thousand, six hundred seventy-two".