825541161984 has 1056 divisors, whose sum is σ = 3204434718720. Its totient is φ = 207393177600.

The previous prime is 825541161983. The next prime is 825541162001. The reversal of 825541161984 is 489161145528.

825541161984 is a `hidden beast` number, since 8 + 2 + 5 + 5 + 4 + 11 + 619 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 825541161984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825541161983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 461969539 + ... + 461971325.

Almost surely, 2^825541161984 is an apocalyptic number.

825541161984 is a gapful number since it is divisible by the number (84) 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 825541161984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602217359360).

825541161984 is an abundant number, since it is smaller than the sum of its proper divisors (2378893556736).

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

825541161984 is a wasteful number, since it uses less digits than its factorization.

825541161984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1841 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 54.

The spelling of 825541161984 in words is "eight hundred twenty-five billion, five hundred forty-one million, one hundred sixty-one thousand, nine hundred eighty-four".