824139825168 has 80 divisors (see below), whose sum is σ = 2444816736000. Its totient is φ = 236595162240.

The previous prime is 824139825151. The next prime is 824139825203. The reversal of 824139825168 is 861528931428.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41065518 + ... + 41085581.

It is an arithmetic number, because the mean of its divisors is an integer number (30560209200).

Almost surely, 2^824139825168 is an apocalyptic number.

824139825168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

824139825168 is an abundant number, since it is smaller than the sum of its proper divisors (1620676910832).

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

824139825168 is a wasteful number, since it uses less digits than its factorization.

824139825168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82151140 (or 82151134 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 57.

The spelling of 824139825168 in words is "eight hundred twenty-four billion, one hundred thirty-nine million, eight hundred twenty-five thousand, one hundred sixty-eight".