870510721502016 has 1792 divisors, whose sum is σ = 3157591449600000. Its totient is φ = 229684881235968.

The previous prime is 870510721501931. The next prime is 870510721502041. The reversal of 870510721502016 is 610205127015078.

870510721502016 is a `hidden beast` number, since 8 + 7 + 0 + 5 + 107 + 21 + 502 + 0 + 16 = 666.

It is a super-2 number, since 2×870510721502016² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 463284044565 + ... + 463284046443.

It is an arithmetic number, because the mean of its divisors is an integer number (1762048800000).

Almost surely, 2^{870510721502016} 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 870510721502016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578795724800000).

870510721502016 is an abundant number, since it is smaller than the sum of its proper divisors (2287080728097984).

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

870510721502016 is a wasteful number, since it uses less digits than its factorization.

870510721502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2305 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 870510721502016 in words is "eight hundred seventy trillion, five hundred ten billion, seven hundred twenty-one million, five hundred two thousand, sixteen".