213264214239600 has 1440 divisors, whose sum is σ = 834594089434560. Its totient is φ = 50111447040000.

The previous prime is 213264214239547. The next prime is 213264214239751. The reversal of 213264214239600 is 6932412462312.

213264214239600 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 6 + 4 + 2 + 1 + 4 + 2 + 39 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 133206878800 + ... + 133206880400.

It is an arithmetic number, because the mean of its divisors is an integer number (579579228774).

Almost surely, 2^{213264214239600} is an apocalyptic number.

213264214239600 is a gapful number since it is divisible by the number (20) 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 213264214239600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417297044717280).

213264214239600 is an abundant number, since it is smaller than the sum of its proper divisors (621329875194960).

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

213264214239600 is a wasteful number, since it uses less digits than its factorization.

213264214239600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2939 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 213264214239600 in words is "two hundred thirteen trillion, two hundred sixty-four billion, two hundred fourteen million, two hundred thirty-nine thousand, six hundred".