39482851585320 has 1536 divisors, whose sum is σ = 165111909580800. Its totient is φ = 8035730841600.

The previous prime is 39482851585291. The next prime is 39482851585321. The reversal of 39482851585320 is 2358515828493.

It is a happy number.

39482851585320 is a `hidden beast` number, since 3 + 9 + 4 + 8 + 2 + 8 + 515 + 85 + 32 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (39482851585321) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3850853314 + ... + 3850863566.

It is an arithmetic number, because the mean of its divisors is an integer number (107494732800).

Almost surely, 2^{39482851585320} is an apocalyptic number.

39482851585320 is a gapful number since it is divisible by the number (30) 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 39482851585320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555954790400).

39482851585320 is an abundant number, since it is smaller than the sum of its proper divisors (125629057995480).

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

39482851585320 is a wasteful number, since it uses less digits than its factorization.

39482851585320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10471 (or 10464 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 39482851585320 in words is "thirty-nine trillion, four hundred eighty-two billion, eight hundred fifty-one million, five hundred eighty-five thousand, three hundred twenty".