213217724304 has 200 divisors, whose sum is σ = 680042016192. Its totient is φ = 64079527680.

The previous prime is 213217724281. The next prime is 213217724311. The reversal of 213217724304 is 403427712312.

213217724304 is a `hidden beast` number, since 2 + 1 + 3 + 217 + 7 + 2 + 430 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 577309 + ... + 871619.

Almost surely, 2^213217724304 is an apocalyptic number.

213217724304 is a gapful number since it is divisible by the number (24) 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 213217724304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340021008096).

213217724304 is an abundant number, since it is smaller than the sum of its proper divisors (466824291888).

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

213217724304 is a wasteful number, since it uses less digits than its factorization.

213217724304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294387 (or 294372 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 213217724304 in words is "two hundred thirteen billion, two hundred seventeen million, seven hundred twenty-four thousand, three hundred four".