39077079828920 has 256 divisors, whose sum is σ = 103387484160000. Its totient is φ = 13286508060672.

The previous prime is 39077079828869. The next prime is 39077079828967. The reversal of 39077079828920 is 2982897077093.

39077079828920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6166491992 + ... + 6166498328.

It is an arithmetic number, because the mean of its divisors is an integer number (403857360000).

Almost surely, 2^{39077079828920} 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 39077079828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51693742080000).

39077079828920 is an abundant number, since it is smaller than the sum of its proper divisors (64310404331080).

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

39077079828920 is a wasteful number, since it uses less digits than its factorization.

39077079828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10035 (or 10017 counting only the distinct ones).

The product of its (nonzero) digits is 192036096, while the sum is 71.

The spelling of 39077079828920 in words is "thirty-nine trillion, seventy-seven billion, seventy-nine million, eight hundred twenty-eight thousand, nine hundred twenty".