809525242368 has 320 divisors, whose sum is σ = 2575125717120. Its totient is φ = 250173259776.

The previous prime is 809525242363. The next prime is 809525242391. The reversal of 809525242368 is 863242525908.

809525242368 is a `hidden beast` number, since 8 + 0 + 9 + 52 + 524 + 2 + 3 + 68 = 666.

It is a super-2 number, since 2×809525242368² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (809525242363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15719830 + ... + 15771242.

It is an arithmetic number, because the mean of its divisors is an integer number (8047267866).

Almost surely, 2^809525242368 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 809525242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287562858560).

809525242368 is an abundant number, since it is smaller than the sum of its proper divisors (1765600474752).

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

809525242368 is a wasteful number, since it uses less digits than its factorization.

809525242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51524 (or 51502 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 809525242368 in words is "eight hundred nine billion, five hundred twenty-five million, two hundred forty-two thousand, three hundred sixty-eight".