870716770560 has 2160 divisors, whose sum is σ = 3997388989440. Its totient is φ = 177009131520.

The previous prime is 870716770543. The next prime is 870716770601. The reversal of 870716770560 is 65077617078.

870716770560 is a `hidden beast` number, since 8 + 7 + 0 + 7 + 1 + 6 + 7 + 70 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 870716770497 and 870716770506.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3802256526 + ... + 3802256754.

Almost surely, 2^870716770560 is an apocalyptic number.

870716770560 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 870716770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1998694494720).

870716770560 is an abundant number, since it is smaller than the sum of its proper divisors (3126672218880).

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

870716770560 is a wasteful number, since it uses less digits than its factorization.

870716770560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 870716770560 in words is "eight hundred seventy billion, seven hundred sixteen million, seven hundred seventy thousand, five hundred sixty".