213888378600 has 384 divisors, whose sum is σ = 801127891200. Its totient is φ = 52136524800.

The previous prime is 213888378551. The next prime is 213888378647. The reversal of 213888378600 is 6873888312.

213888378600 is a `hidden beast` number, since 2 + 138 + 88 + 378 + 60 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7215810 + ... + 7245390.

It is an arithmetic number, because the mean of its divisors is an integer number (2086270550).

Almost surely, 2^213888378600 is an apocalyptic number.

213888378600 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 213888378600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400563945600).

213888378600 is an abundant number, since it is smaller than the sum of its proper divisors (587239512600).

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

213888378600 is a wasteful number, since it uses less digits than its factorization.

213888378600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29722 (or 29707 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 213888378600 in words is "two hundred thirteen billion, eight hundred eighty-eight million, three hundred seventy-eight thousand, six hundred".