827765153856 has 189 divisors, whose sum is σ = 2397493291999. Its totient is φ = 273061256448.

The previous prime is 827765153851. The next prime is 827765153857. The reversal of 827765153856 is 658351567728.

The square root of 827765153856 is 909816.

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

827765153856 is a `hidden beast` number, since 8 + 27 + 76 + 5 + 1 + 538 + 5 + 6 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 827765153793 and 827765153802.

It is not an unprimeable number, because it can be changed into a prime (827765153851) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3646542415 + ... + 3646542641.

Almost surely, 2^827765153856 is an apocalyptic number.

827765153856 is the 909816-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827765153856

827765153856 is an abundant number, since it is smaller than the sum of its proper divisors (1569728138143).

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

827765153856 is an equidigital number, since it uses as much as digits as its factorization.

827765153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 399 counting only the distinct ones).

The product of its digits is 84672000, while the sum is 63.

The spelling of 827765153856 in words is "eight hundred twenty-seven billion, seven hundred sixty-five million, one hundred fifty-three thousand, eight hundred fifty-six".