213569857872 has 720 divisors, whose sum is σ = 768656874240. Its totient is φ = 57297300480.

The previous prime is 213569857829. The next prime is 213569857909. The reversal of 213569857872 is 278758965312.

213569857872 is a `hidden beast` number, since 2 + 1 + 3 + 56 + 9 + 8 + 578 + 7 + 2 = 666.

It is a super-2 number, since 2×213569857872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 495521497 + ... + 495521927.

It is an arithmetic number, because the mean of its divisors is an integer number (1067578992).

Almost surely, 2^213569857872 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 213569857872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384328437120).

213569857872 is an abundant number, since it is smaller than the sum of its proper divisors (555087016368).

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

213569857872 is an equidigital number, since it uses as much as digits as its factorization.

213569857872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 460 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 213569857872 in words is "two hundred thirteen billion, five hundred sixty-nine million, eight hundred fifty-seven thousand, eight hundred seventy-two".