817534080000 has 2640 divisors, whose sum is σ = 3674212375680. Its totient is φ = 178421760000.

The previous prime is 817534079959. The next prime is 817534080001. The reversal of 817534080000 is 80435718.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a super-2 number, since 2×817534080000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (817534080001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35544959989 + ... + 35544960011.

It is an arithmetic number, because the mean of its divisors is an integer number (1391747112).

Almost surely, 2^817534080000 is an apocalyptic number.

817534080000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 817534080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837106187840).

817534080000 is an abundant number, since it is smaller than the sum of its proper divisors (2856678295680).

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

817534080000 is a wasteful number, since it uses less digits than its factorization.

817534080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 817534080000 in words is "eight hundred seventeen billion, five hundred thirty-four million, eighty thousand".