39116580048 has 480 divisors, whose sum is σ = 144129525120. Its totient is φ = 10061936640.

The previous prime is 39116580043. The next prime is 39116580091. The reversal of 39116580048 is 84008561193.

It is a junction number, because it is equal to n+sod(n) for n = 39116579985 and 39116580012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39116580043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11280811 + ... + 11284277.

It is an arithmetic number, because the mean of its divisors is an integer number (300269844).

Almost surely, 2^39116580048 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 39116580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72064762560).

39116580048 is an abundant number, since it is smaller than the sum of its proper divisors (105012945072).

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

39116580048 is a wasteful number, since it uses less digits than its factorization.

39116580048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 39116580048 in words is "thirty-nine billion, one hundred sixteen million, five hundred eighty thousand, forty-eight".