213588225748800 has 2016 divisors, whose sum is σ = 895235450470400. Its totient is φ = 47294045061120.

The previous prime is 213588225748739. The next prime is 213588225748841. The reversal of 213588225748800 is 8847522885312.

213588225748800 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 88 + 22 + 57 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 166996266561 + ... + 166996267839.

Almost surely, 2^{213588225748800} is an apocalyptic number.

213588225748800 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 213588225748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447617725235200).

213588225748800 is an abundant number, since it is smaller than the sum of its proper divisors (681647224721600).

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

213588225748800 is a wasteful number, since it uses less digits than its factorization.

213588225748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 213588225748800 in words is "two hundred thirteen trillion, five hundred eighty-eight billion, two hundred twenty-five million, seven hundred forty-eight thousand, eight hundred".