856606797370368 has 2464 divisors, whose sum is σ = 3001500568215552. Its totient is φ = 241767958118400.

The previous prime is 856606797370351. The next prime is 856606797370397. The reversal of 856606797370368 is 863073797606658.

856606797370368 is a `hidden beast` number, since 8 + 5 + 6 + 60 + 67 + 9 + 73 + 70 + 368 = 666.

It is a super-2 number, since 2×856606797370368² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 970109622855 + ... + 970109623737.

Almost surely, 2^{856606797370368} is an apocalyptic number.

856606797370368 is a gapful number since it is divisible by the number (88) 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 856606797370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500750284107776).

856606797370368 is an abundant number, since it is smaller than the sum of its proper divisors (2144893770845184).

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

856606797370368 is a wasteful number, since it uses less digits than its factorization.

856606797370368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 11522165760, while the sum is 81.

The spelling of 856606797370368 in words is "eight hundred fifty-six trillion, six hundred six billion, seven hundred ninety-seven million, three hundred seventy thousand, three hundred sixty-eight".