2565885433968 has 120 divisors (see below), whose sum is σ = 7233555403776. Its totient is φ = 849033360000.

The previous prime is 2565885433967. The next prime is 2565885433973. The reversal of 2565885433968 is 8693345885652.

2565885433968 is a `hidden beast` number, since 2 + 5 + 6 + 58 + 85 + 433 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2565885433896 and 2565885433905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2565885433967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31422793 + ... + 31504343.

Almost surely, 2^{2565885433968} 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 2565885433968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616777701888).

2565885433968 is an abundant number, since it is smaller than the sum of its proper divisors (4667669969808).

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

2565885433968 is a wasteful number, since it uses less digits than its factorization.

2565885433968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83163 (or 83154 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 2565885433968 in words is "two trillion, five hundred sixty-five billion, eight hundred eighty-five million, four hundred thirty-three thousand, nine hundred sixty-eight".