827745725961 has 192 divisors, whose sum is σ = 1608287256576. Its totient is φ = 397380297600.

The previous prime is 827745725957. The next prime is 827745725981. The reversal of 827745725961 is 169527547728.

827745725961 is a `hidden beast` number, since 8 + 2 + 7 + 7 + 4 + 572 + 59 + 6 + 1 = 666.

827745725961 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 827745725961 - 2² = 827745725957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (827745725981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 448155940 + ... + 448157786.

It is an arithmetic number, because the mean of its divisors is an integer number (8376496128).

Almost surely, 2^827745725961 is an apocalyptic number.

It is an amenable number.

827745725961 is a deficient number, since it is larger than the sum of its proper divisors (780541530615).

827745725961 is a wasteful number, since it uses less digits than its factorization.

827745725961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2829 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 827745725961 in words is "eight hundred twenty-seven billion, seven hundred forty-five million, seven hundred twenty-five thousand, nine hundred sixty-one".