860355046656 has 576 divisors, whose sum is σ = 2952778752000. Its totient is φ = 242036121600.

The previous prime is 860355046643. The next prime is 860355046667. The reversal of 860355046656 is 656640553068.

860355046656 is a `hidden beast` number, since 86 + 0 + 3 + 5 + 50 + 466 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 944406841 + ... + 944407751.

It is an arithmetic number, because the mean of its divisors is an integer number (5126352000).

Almost surely, 2^860355046656 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 860355046656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476389376000).

860355046656 is an abundant number, since it is smaller than the sum of its proper divisors (2092423705344).

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

860355046656 is a wasteful number, since it uses less digits than its factorization.

860355046656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 860355046656 in words is "eight hundred sixty billion, three hundred fifty-five million, forty-six thousand, six hundred fifty-six".