217800558048 has 96 divisors (see below), whose sum is σ = 578774052864. Its totient is φ = 71710313472.

The previous prime is 217800558007. The next prime is 217800558077. The reversal of 217800558048 is 840855008712.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 217800557988 and 217800558006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2728236 + ... + 2806932.

It is an arithmetic number, because the mean of its divisors is an integer number (6028896384).

Almost surely, 2^217800558048 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 217800558048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289387026432).

217800558048 is an abundant number, since it is smaller than the sum of its proper divisors (360973494816).

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

217800558048 is a wasteful number, since it uses less digits than its factorization.

217800558048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79064 (or 79056 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 217800558048 in words is "two hundred seventeen billion, eight hundred million, five hundred fifty-eight thousand, forty-eight".