853620775056 has 405 divisors, whose sum is σ = 2956641031929. Its totient is φ = 229190298624.

The previous prime is 853620774991. The next prime is 853620775121. The reversal of 853620775056 is 650577026358.

The square root of 853620775056 is 923916.

It is a perfect power (a square), and thus also a powerful number.

853620775056 is a `hidden beast` number, since 8 + 5 + 3 + 62 + 0 + 77 + 505 + 6 = 666.

853620775056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (853620774991) and next prime (853620775121).

It can be written as a sum of positive squares in only one way, i.e., 664583648400 + 189037126656 = 815220^2 + 434784^2 .

It is a junction number, because it is equal to n+sod(n) for n = 853620774993 and 853620775011.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1319351725 + ... + 1319352371.

Almost surely, 2^853620775056 is an apocalyptic number.

853620775056 is the 923916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 853620775056

853620775056 is an abundant number, since it is smaller than the sum of its proper divisors (2103020256873).

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

853620775056 is a wasteful number, since it uses less digits than its factorization.

853620775056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 853620775056 in words is "eight hundred fifty-three billion, six hundred twenty million, seven hundred seventy-five thousand, fifty-six".