213805188000 has 144 divisors (see below), whose sum is σ = 758794739976. Its totient is φ = 57014707200.

The previous prime is 213805187983. The next prime is 213805188013. The reversal of 213805188000 is 881508312.

213805188000 is a `hidden beast` number, since 2 + 138 + 0 + 518 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 143874558864 + 69930629136 = 379308^2 + 264444^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2933517 + ... + 3005516.

Almost surely, 2^213805188000 is an apocalyptic number.

213805188000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213805188000 is an abundant number, since it is smaller than the sum of its proper divisors (544989551976).

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

213805188000 is a wasteful number, since it uses less digits than its factorization.

213805188000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5939064 (or 5939043 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 213805188000 in words is "two hundred thirteen billion, eight hundred five million, one hundred eighty-eight thousand".