213172185240 has 768 divisors, whose sum is σ = 882799948800. Its totient is φ = 45511538688.

The previous prime is 213172185221. The next prime is 213172185251. The reversal of 213172185240 is 42581271312.

213172185240 is a `hidden beast` number, since 2 + 1 + 317 + 21 + 85 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 213172185195 and 213172185204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52335844 + ... + 52339916.

It is an arithmetic number, because the mean of its divisors is an integer number (1149479100).

Almost surely, 2^213172185240 is an apocalyptic number.

213172185240 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 213172185240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441399974400).

213172185240 is an abundant number, since it is smaller than the sum of its proper divisors (669627763560).

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

213172185240 is a wasteful number, since it uses less digits than its factorization.

213172185240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 213172185240 in words is "two hundred thirteen billion, one hundred seventy-two million, one hundred eighty-five thousand, two hundred forty".