39820568924928 has 288 divisors, whose sum is σ = 116990754209280. Its totient is φ = 11923470254080.

The previous prime is 39820568924869. The next prime is 39820568924993. The reversal of 39820568924928 is 82942986502893.

It is a self number, because there is not a number n which added to its sum of digits gives 39820568924928.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1208241826 + ... + 1208274782.

It is an arithmetic number, because the mean of its divisors is an integer number (406217896560).

Almost surely, 2^{39820568924928} 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 39820568924928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58495377104640).

39820568924928 is an abundant number, since it is smaller than the sum of its proper divisors (77170185284352).

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

39820568924928 is a wasteful number, since it uses less digits than its factorization.

39820568924928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34683 (or 34669 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 75.

The spelling of 39820568924928 in words is "thirty-nine trillion, eight hundred twenty billion, five hundred sixty-eight million, nine hundred twenty-four thousand, nine hundred twenty-eight".