213203543040 has 704 divisors, whose sum is σ = 790206193920. Its totient is φ = 54464348160.

The previous prime is 213203542999. The next prime is 213203543051. The reversal of 213203543040 is 40345302312.

213203543040 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 354 + 304 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 213203542995 and 213203543013.

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 63 ways as a sum of consecutive naturals, for example, 373385955 + ... + 373386525.

It is an arithmetic number, because the mean of its divisors is an integer number (1122451980).

Almost surely, 2^213203543040 is an apocalyptic number.

213203543040 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 213203543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395103096960).

213203543040 is an abundant number, since it is smaller than the sum of its proper divisors (577002650880).

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

213203543040 is a wasteful number, since it uses less digits than its factorization.

213203543040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 213203543040 its reverse (40345302312), we get a palindrome (253548845352).

The spelling of 213203543040 in words is "two hundred thirteen billion, two hundred three million, five hundred forty-three thousand, forty".