217875248920 has 32 divisors (see below), whose sum is σ = 560250640800. Its totient is φ = 74700085248.

The previous prime is 217875248891. The next prime is 217875248933. The reversal of 217875248920 is 29842578712.

217875248920 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 2×217875248920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389062665 + ... + 389063224.

It is an arithmetic number, because the mean of its divisors is an integer number (17507832525).

Almost surely, 2^217875248920 is an apocalyptic number.

217875248920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

217875248920 is an abundant number, since it is smaller than the sum of its proper divisors (342375391880).

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

217875248920 is a wasteful number, since it uses less digits than its factorization.

217875248920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778125907 (or 778125903 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 217875248920 in words is "two hundred seventeen billion, eight hundred seventy-five million, two hundred forty-eight thousand, nine hundred twenty".