39580106648112 has 800 divisors, whose sum is σ = 129560927569920. Its totient is φ = 11603613450240.

The previous prime is 39580106648059. The next prime is 39580106648161. The reversal of 39580106648112 is 21184660108593.

It is a happy number.

39580106648112 is a `hidden beast` number, since 3 + 9 + 5 + 80 + 10 + 66 + 481 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3326892148 + ... + 3326904044.

Almost surely, 2^{39580106648112} 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 39580106648112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64780463784960).

39580106648112 is an abundant number, since it is smaller than the sum of its proper divisors (89980820921808).

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

39580106648112 is a wasteful number, since it uses less digits than its factorization.

39580106648112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12131 (or 12116 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 39580106648112 in words is "thirty-nine trillion, five hundred eighty billion, one hundred six million, six hundred forty-eight thousand, one hundred twelve".