870614459396880 has 3840 divisors, whose sum is σ = 3402987714846720. Its totient is φ = 182254908211200.

The previous prime is 870614459396849. The next prime is 870614459396909. The reversal of 870614459396880 is 88693954416078.

870614459396880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×870614459396880² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 870614459396796 and 870614459396805.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 7987288618266 + ... + 7987288618374.

It is an arithmetic number, because the mean of its divisors is an integer number (886194717408).

Almost surely, 2^{870614459396880} is an apocalyptic number.

870614459396880 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 870614459396880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1701493857423360).

870614459396880 is an abundant number, since it is smaller than the sum of its proper divisors (2532373255449840).

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

870614459396880 is a wasteful number, since it uses less digits than its factorization.

870614459396880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 78.

The spelling of 870614459396880 in words is "eight hundred seventy trillion, six hundred fourteen billion, four hundred fifty-nine million, three hundred ninety-six thousand, eight hundred eighty".