213374504188800 has 384 divisors, whose sum is σ = 789665503932000. Its totient is φ = 56260541399040.

The previous prime is 213374504188799. The next prime is 213374504188861. The reversal of 213374504188800 is 8881405473312.

213374504188800 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 7 + 450 + 4 + 188 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6184627 + ... + 21563826.

Almost surely, 2^{213374504188800} is an apocalyptic number.

213374504188800 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 213374504188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394832751966000).

213374504188800 is an abundant number, since it is smaller than the sum of its proper divisors (576290999743200).

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

213374504188800 is a wasteful number, since it uses less digits than its factorization.

213374504188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27748575 (or 27748552 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 213374504188800 in words is "two hundred thirteen trillion, three hundred seventy-four billion, five hundred four million, one hundred eighty-eight thousand, eight hundred".