213795592704 has 480 divisors, whose sum is σ = 671993150400. Its totient is φ = 65213890560.

The previous prime is 213795592697. The next prime is 213795592711. The reversal of 213795592704 is 407295597312.

213795592704 is a `hidden beast` number, since 2 + 13 + 7 + 9 + 559 + 2 + 70 + 4 = 666.

213795592704 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (213795592697) and next prime (213795592711).

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 47 ways as a sum of consecutive naturals, for example, 410355964 + ... + 410356484.

It is an arithmetic number, because the mean of its divisors is an integer number (1399985730).

Almost surely, 2^213795592704 is an apocalyptic number.

213795592704 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 213795592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335996575200).

213795592704 is an abundant number, since it is smaller than the sum of its proper divisors (458197557696).

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

213795592704 is a wasteful number, since it uses less digits than its factorization.

213795592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 213795592704 in words is "two hundred thirteen billion, seven hundred ninety-five million, five hundred ninety-two thousand, seven hundred four".