213425614640 has 160 divisors (see below), whose sum is σ = 601262766720. Its totient is φ = 68778196992.

The previous prime is 213425614639. The next prime is 213425614663. The reversal of 213425614640 is 46416524312.

It is a junction number, because it is equal to n+sod(n) for n = 213425614594 and 213425614603.

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 31 ways as a sum of consecutive naturals, for example, 7306304 + ... + 7335456.

It is an arithmetic number, because the mean of its divisors is an integer number (3757892292).

Almost surely, 2^213425614640 is an apocalyptic number.

213425614640 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 213425614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300631383360).

213425614640 is an abundant number, since it is smaller than the sum of its proper divisors (387837152080).

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

213425614640 is a wasteful number, since it uses less digits than its factorization.

213425614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29959 (or 29953 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 213425614640 in words is "two hundred thirteen billion, four hundred twenty-five million, six hundred fourteen thousand, six hundred forty".