39639395161872 has 800 divisors, whose sum is σ = 136153392291840. Its totient is φ = 10999805184000.

The previous prime is 39639395161871. The next prime is 39639395161969. The reversal of 39639395161872 is 27816159393693.

39639395161872 is a `hidden beast` number, since 3 + 9 + 6 + 3 + 9 + 39 + 516 + 1 + 8 + 72 = 666.

It is a super-3 number, since 3×39639395161872³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 39639395161872.

It is not an unprimeable number, because it can be changed into a prime (39639395161871) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8925779172 + ... + 8925783612.

Almost surely, 2^{39639395161872} 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 39639395161872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68076696145920).

39639395161872 is an abundant number, since it is smaller than the sum of its proper divisors (96513997129968).

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

39639395161872 is a wasteful number, since it uses less digits than its factorization.

39639395161872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5570 counting only the distinct ones).

The product of its digits is 396809280, while the sum is 72.

The spelling of 39639395161872 in words is "thirty-nine trillion, six hundred thirty-nine billion, three hundred ninety-five million, one hundred sixty-one thousand, eight hundred seventy-two".