213895388160 has 528 divisors, whose sum is σ = 778467549600. Its totient is φ = 54227238912.

The previous prime is 213895388141. The next prime is 213895388177. The reversal of 213895388160 is 61883598312.

213895388160 is a `hidden beast` number, since 2 + 13 + 8 + 95 + 388 + 160 = 666.

213895388160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213895388160² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213895388097 and 213895388106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89532246 + ... + 89534634.

Almost surely, 2^213895388160 is an apocalyptic number.

213895388160 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 213895388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389233774800).

213895388160 is an abundant number, since it is smaller than the sum of its proper divisors (564572161440).

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

213895388160 is a wasteful number, since it uses less digits than its factorization.

213895388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 213895388160 in words is "two hundred thirteen billion, eight hundred ninety-five million, three hundred eighty-eight thousand, one hundred sixty".