213204862800 has 150 divisors (see below), whose sum is σ = 765175259838. Its totient is φ = 56854621440.

The previous prime is 213204862799. The next prime is 213204862813. The reversal of 213204862800 is 8268402312.

213204862800 is a `hidden beast` number, since 2 + 1 + 3 + 20 + 4 + 8 + 628 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6601887504 + 206602975296 = 81252^2 + 454536^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 3257799 + ... + 3322598.

Almost surely, 2^213204862800 is an apocalyptic number.

213204862800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213204862800 is an abundant number, since it is smaller than the sum of its proper divisors (551970397038).

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

213204862800 is a wasteful number, since it uses less digits than its factorization.

213204862800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6580427 (or 6580407 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 213204862800 in words is "two hundred thirteen billion, two hundred four million, eight hundred sixty-two thousand, eight hundred".