2965035725568 has 1440 divisors, whose sum is σ = 11143430144000. Its totient is φ = 765098680320.

The previous prime is 2965035725543. The next prime is 2965035725573. The reversal of 2965035725568 is 8655275305692.

It is a happy number.

2965035725568 is a `hidden beast` number, since 2 + 9 + 6 + 5 + 0 + 3 + 5 + 72 + 556 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6754067493 + ... + 6754067931.

Almost surely, 2^{2965035725568} is an apocalyptic number.

2965035725568 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2965035725568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571715072000).

2965035725568 is an abundant number, since it is smaller than the sum of its proper divisors (8178394418432).

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

2965035725568 is a wasteful number, since it uses less digits than its factorization.

2965035725568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 136080000, while the sum is 63.

The spelling of 2965035725568 in words is "two trillion, nine hundred sixty-five billion, thirty-five million, seven hundred twenty-five thousand, five hundred sixty-eight".