213780823200 has 864 divisors, whose sum is σ = 904118132736. Its totient is φ = 46473799680.

The previous prime is 213780823147. The next prime is 213780823241. The reversal of 213780823200 is 2328087312.

It is a happy number.

213780823200 is a `hidden beast` number, since 2 + 1 + 378 + 0 + 82 + 3 + 200 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 258501187 + ... + 258502013.

It is an arithmetic number, because the mean of its divisors is an integer number (1046433024).

Almost surely, 2^213780823200 is an apocalyptic number.

213780823200 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 213780823200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452059066368).

213780823200 is an abundant number, since it is smaller than the sum of its proper divisors (690337309536).

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

213780823200 is a wasteful number, since it uses less digits than its factorization.

213780823200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 213780823200 in words is "two hundred thirteen billion, seven hundred eighty million, eight hundred twenty-three thousand, two hundred".