213803375940 has 576 divisors, whose sum is σ = 874164695040. Its totient is φ = 40949038080.

The previous prime is 213803375911. The next prime is 213803375971. The reversal of 213803375940 is 49573308312.

213803375940 is a `hidden beast` number, since 21 + 3 + 8 + 0 + 3 + 37 + 594 + 0 = 666.

213803375940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9732609 + ... + 9754551.

It is an arithmetic number, because the mean of its divisors is an integer number (1517647040).

Almost surely, 2^213803375940 is an apocalyptic number.

213803375940 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 213803375940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437082347520).

213803375940 is an abundant number, since it is smaller than the sum of its proper divisors (660361319100).

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

213803375940 is a wasteful number, since it uses less digits than its factorization.

213803375940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22032 (or 22027 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 213803375940 in words is "two hundred thirteen billion, eight hundred three million, three hundred seventy-five thousand, nine hundred forty".