3960554165568 has 756 divisors, whose sum is σ = 15632021545140. Its totient is φ = 949572771840.

The previous prime is 3960554165543. The next prime is 3960554165591. The reversal of 3960554165568 is 8655614550693.

It is a happy number.

3960554165568 is a `hidden beast` number, since 3 + 9 + 6 + 0 + 5 + 5 + 4 + 1 + 65 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 806633904384 + 3153920261184 = 898128^2 + 1775928^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 44351748 + ... + 44440956.

Almost surely, 2^{3960554165568} 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 3960554165568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7816010772570).

3960554165568 is an abundant number, since it is smaller than the sum of its proper divisors (11671467379572).

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

3960554165568 is a wasteful number, since it uses less digits than its factorization.

3960554165568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89276 (or 89245 counting only the distinct ones).

The product of its (nonzero) digits is 116640000, while the sum is 63.

The spelling of 3960554165568 in words is "three trillion, nine hundred sixty billion, five hundred fifty-four million, one hundred sixty-five thousand, five hundred sixty-eight".