213650825472 has 1728 divisors, whose sum is σ = 857106432000. Its totient is φ = 52672757760.

The previous prime is 213650825467. The next prime is 213650825519. The reversal of 213650825472 is 274528056312.

213650825472 is a `hidden beast` number, since 2 + 136 + 508 + 2 + 5 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 6891962097 + ... + 6891962127.

Almost surely, 2^213650825472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213650825472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428553216000).

213650825472 is an abundant number, since it is smaller than the sum of its proper divisors (643455606528).

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

213650825472 is an equidigital number, since it uses as much as digits as its factorization.

213650825472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 213650825472 in words is "two hundred thirteen billion, six hundred fifty million, eight hundred twenty-five thousand, four hundred seventy-two".