815217106880 has 224 divisors, whose sum is σ = 2306043648000. Its totient is φ = 271155548160.

The previous prime is 815217106859. The next prime is 815217106889. The reversal of 815217106880 is 88601712518.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815217106889) 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, 1729361 + ... + 2149679.

Almost surely, 2^815217106880 is an apocalyptic number.

815217106880 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 815217106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153021824000).

815217106880 is an abundant number, since it is smaller than the sum of its proper divisors (1490826541120).

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

815217106880 is a wasteful number, since it uses less digits than its factorization.

815217106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420395 (or 420385 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 47.

The spelling of 815217106880 in words is "eight hundred fifteen billion, two hundred seventeen million, one hundred six thousand, eight hundred eighty".