213194386800 has 480 divisors, whose sum is σ = 813863980800. Its totient is φ = 52840719360.

The previous prime is 213194386789. The next prime is 213194386807. The reversal of 213194386800 is 8683491312.

213194386800 is a `hidden beast` number, since 2 + 1 + 3 + 194 + 386 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213194386807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10865799 + ... + 10885401.

It is an arithmetic number, because the mean of its divisors is an integer number (1695549960).

Almost surely, 2^213194386800 is an apocalyptic number.

213194386800 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 213194386800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406931990400).

213194386800 is an abundant number, since it is smaller than the sum of its proper divisors (600669594000).

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

213194386800 is a wasteful number, since it uses less digits than its factorization.

213194386800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19702 (or 19685 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 213194386800 in words is "two hundred thirteen billion, one hundred ninety-four million, three hundred eighty-six thousand, eight hundred".