213834287160 has 1152 divisors, whose sum is σ = 849108873600. Its totient is φ = 46389657600.

The previous prime is 213834287141. The next prime is 213834287201. The reversal of 213834287160 is 61782438312.

213834287160 is a `hidden beast` number, since 21 + 3 + 83 + 428 + 71 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2117171110 + ... + 2117171210.

It is an arithmetic number, because the mean of its divisors is an integer number (737073675).

Almost surely, 2^213834287160 is an apocalyptic number.

213834287160 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 213834287160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424554436800).

213834287160 is an abundant number, since it is smaller than the sum of its proper divisors (635274586440).

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

213834287160 is a wasteful number, since it uses less digits than its factorization.

213834287160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 213834287160 in words is "two hundred thirteen billion, eight hundred thirty-four million, two hundred eighty-seven thousand, one hundred sixty".