817800242568 has 128 divisors (see below), whose sum is σ = 2102047200000. Its totient is φ = 265029553152.

The previous prime is 817800242537. The next prime is 817800242573. The reversal of 817800242568 is 865242008718.

It is a self number, because there is not a number n which added to its sum of digits gives 817800242568.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83197878 + ... + 83207706.

It is an arithmetic number, because the mean of its divisors is an integer number (16422243750).

Almost surely, 2^817800242568 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 817800242568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051023600000).

817800242568 is an abundant number, since it is smaller than the sum of its proper divisors (1284246957432).

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

817800242568 is a wasteful number, since it uses less digits than its factorization.

817800242568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10475 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 817800242568 in words is "eight hundred seventeen billion, eight hundred million, two hundred forty-two thousand, five hundred sixty-eight".