213268771800 has 1440 divisors, whose sum is σ = 929695852800. Its totient is φ = 44257881600.

The previous prime is 213268771789. The next prime is 213268771843. The reversal of 213268771800 is 8177862312.

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 359 ways as a sum of consecutive naturals, for example, 2070570549 + ... + 2070570651.

It is an arithmetic number, because the mean of its divisors is an integer number (645622120).

Almost surely, 2^213268771800 is an apocalyptic number.

213268771800 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 213268771800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464847926400).

213268771800 is an abundant number, since it is smaller than the sum of its proper divisors (716427081000).

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

213268771800 is a wasteful number, since it uses less digits than its factorization.

213268771800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 213268771800 in words is "two hundred thirteen billion, two hundred sixty-eight million, seven hundred seventy-one thousand, eight hundred".