870677773056 has 864 divisors, whose sum is σ = 3330078259200. Its totient is φ = 222187069440.

The previous prime is 870677773039. The next prime is 870677773057. The reversal of 870677773056 is 650377776078.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 870677772984 and 870677773002.

It is not an unprimeable number, because it can be changed into a prime (870677773057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 136488075 + ... + 136494453.

Almost surely, 2^870677773056 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 870677773056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665039129600).

870677773056 is an abundant number, since it is smaller than the sum of its proper divisors (2459400486144).

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

870677773056 is a wasteful number, since it uses less digits than its factorization.

870677773056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6462 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 72606240, while the sum is 63.

The spelling of 870677773056 in words is "eight hundred seventy billion, six hundred seventy-seven million, seven hundred seventy-three thousand, fifty-six".