2565960176640 has 704 divisors, whose sum is σ = 10162506461184. Its totient is φ = 539151040512.

The previous prime is 2565960176639. The next prime is 2565960176729. The reversal of 2565960176640 is 466710695652.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78580797 + ... + 78613443.

It is an arithmetic number, because the mean of its divisors is an integer number (14435378496).

Almost surely, 2^{2565960176640} is an apocalyptic number.

2565960176640 is a gapful number since it is divisible by the number (20) 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 2565960176640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5081253230592).

2565960176640 is an abundant number, since it is smaller than the sum of its proper divisors (7596546284544).

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

2565960176640 is a wasteful number, since it uses less digits than its factorization.

2565960176640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32742 (or 32724 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 2565960176640 in words is "two trillion, five hundred sixty-five billion, nine hundred sixty million, one hundred seventy-six thousand, six hundred forty".