39725911225728 has 768 divisors, whose sum is σ = 143063284815360. Its totient is φ = 10301764239360.

The previous prime is 39725911225699. The next prime is 39725911225729. The reversal of 39725911225728 is 82752211952793.

39725911225728 is a `hidden beast` number, since 3 + 9 + 7 + 2 + 59 + 1 + 1 + 2 + 2 + 572 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39725911225729) 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, 2533047775 + ... + 2533063457.

It is an arithmetic number, because the mean of its divisors is an integer number (186280318770).

Almost surely, 2^{39725911225728} 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 39725911225728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71531642407680).

39725911225728 is an abundant number, since it is smaller than the sum of its proper divisors (103337373589632).

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

39725911225728 is a wasteful number, since it uses less digits than its factorization.

39725911225728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16127 (or 16112 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 39725911225728 in words is "thirty-nine trillion, seven hundred twenty-five billion, nine hundred eleven million, two hundred twenty-five thousand, seven hundred twenty-eight".