39961077061752 has 1280 divisors, whose sum is σ = 146883349831680. Its totient is φ = 9848969625600.

The previous prime is 39961077061723. The next prime is 39961077061753. The reversal of 39961077061752 is 25716077016993.

39961077061752 is a `hidden beast` number, since 3 + 9 + 9 + 6 + 1 + 0 + 7 + 7 + 0 + 617 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 39961077061752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39961077061753) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 16954210558 + ... + 16954212914.

It is an arithmetic number, because the mean of its divisors is an integer number (114752617056).

Almost surely, 2^{39961077061752} 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 39961077061752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73441674915840).

39961077061752 is an abundant number, since it is smaller than the sum of its proper divisors (106922272769928).

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

39961077061752 is a wasteful number, since it uses less digits than its factorization.

39961077061752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2634 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 30005640, while the sum is 63.

The spelling of 39961077061752 in words is "thirty-nine trillion, nine hundred sixty-one billion, seventy-seven million, sixty-one thousand, seven hundred fifty-two".