39875163328 has 448 divisors, whose sum is σ = 111425126400. Its totient is φ = 13737185280.

The previous prime is 39875163301. The next prime is 39875163347. The reversal of 39875163328 is 82336157893.

It is a tau number, because it is divible by the number of its divisors (448).

Its product of digits (6531840) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 313977601 + ... + 313977727.

It is an arithmetic number, because the mean of its divisors is an integer number (248716800).

Almost surely, 2^39875163328 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 39875163328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55712563200).

39875163328 is an abundant number, since it is smaller than the sum of its proper divisors (71549963072).

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

39875163328 is a wasteful number, since it uses less digits than its factorization.

39875163328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 189 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

It can be divided in two parts, 39875 and 163328, that added together give a triangular number (203203 = T₆₃₇).

The spelling of 39875163328 in words is "thirty-nine billion, eight hundred seventy-five million, one hundred sixty-three thousand, three hundred twenty-eight".