800617533138 has 96 divisors (see below), whose sum is σ = 1831982443200. Its totient is φ = 251995252608.

The previous prime is 800617533127. The next prime is 800617533197. The reversal of 800617533138 is 831335716008.

800617533138 is a `hidden beast` number, since 80 + 0 + 6 + 1 + 7 + 533 + 1 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 800617533093 and 800617533102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234577120 + ... + 234580532.

It is an arithmetic number, because the mean of its divisors is an integer number (19083150450).

Almost surely, 2^800617533138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800617533138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915991221600).

800617533138 is an abundant number, since it is smaller than the sum of its proper divisors (1031364910062).

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

800617533138 is a wasteful number, since it uses less digits than its factorization.

800617533138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5496 (or 5493 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 800617533138 in words is "eight hundred billion, six hundred seventeen million, five hundred thirty-three thousand, one hundred thirty-eight".