213720414800 has 60 divisors (see below), whose sum is σ = 516909503100. Its totient is φ = 84914396160.

The previous prime is 213720414797. The next prime is 213720414857. The reversal of 213720414800 is 8414027312.

It can be written as a sum of positive squares in 6 ways, for example, as 39333995584 + 174386419216 = 198328^2 + 417596^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1733357 + ... + 1852556.

It is an arithmetic number, because the mean of its divisors is an integer number (8615158385).

Almost surely, 2^213720414800 is an apocalyptic number.

213720414800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213720414800 is an abundant number, since it is smaller than the sum of its proper divisors (303189088300).

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

213720414800 is a wasteful number, since it uses less digits than its factorization.

213720414800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3586080 (or 3586069 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 213720414800 in words is "two hundred thirteen billion, seven hundred twenty million, four hundred fourteen thousand, eight hundred".