827919533952 has 384 divisors, whose sum is σ = 2917708335360. Its totient is φ = 219948466176.

The previous prime is 827919533939. The next prime is 827919533953. The reversal of 827919533952 is 259335919728.

827919533952 is a `hidden beast` number, since 8 + 2 + 7 + 9 + 1 + 9 + 533 + 95 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 827919533952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827919533953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11341923 + ... + 11414685.

It is an arithmetic number, because the mean of its divisors is an integer number (7598198790).

Almost surely, 2^827919533952 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 827919533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458854167680).

827919533952 is an abundant number, since it is smaller than the sum of its proper divisors (2089788801408).

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

827919533952 is a wasteful number, since it uses less digits than its factorization.

827919533952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72890 (or 72875 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 63.

The spelling of 827919533952 in words is "eight hundred twenty-seven billion, nine hundred nineteen million, five hundred thirty-three thousand, nine hundred fifty-two".