213147884160 has 480 divisors, whose sum is σ = 788503844700. Its totient is φ = 54868230144.

The previous prime is 213147884141. The next prime is 213147884179. The reversal of 213147884160 is 61488741312.

213147884160 is a `hidden beast` number, since 2 + 13 + 1 + 478 + 8 + 4 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (213147884141) and next prime (213147884179).

It can be written as a sum of positive squares in 6 ways, for example, as 118495669824 + 94652214336 = 344232^2 + 307656^2 .

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43594996 + ... + 43599884.

Almost surely, 2^213147884160 is an apocalyptic number.

213147884160 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 213147884160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394251922350).

213147884160 is an abundant number, since it is smaller than the sum of its proper divisors (575355960540).

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

213147884160 is an equidigital number, since it uses as much as digits as its factorization.

213147884160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 213147884160 in words is "two hundred thirteen billion, one hundred forty-seven million, eight hundred eighty-four thousand, one hundred sixty".