2565538271520 has 768 divisors, whose sum is σ = 10249891061760. Its totient is φ = 525883539456.

The previous prime is 2565538271479. The next prime is 2565538271533. The reversal of 2565538271520 is 251728355652.

2565538271520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2565538271520² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 142418034 + ... + 142436046.

It is an arithmetic number, because the mean of its divisors is an integer number (13346212320).

Almost surely, 2^{2565538271520} is an apocalyptic number.

2565538271520 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 2565538271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5124945530880).

2565538271520 is an abundant number, since it is smaller than the sum of its proper divisors (7684352790240).

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

2565538271520 is a wasteful number, since it uses less digits than its factorization.

2565538271520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18177 (or 18169 counting only the distinct ones).

The product of its (nonzero) digits is 5040000, while the sum is 51.

The spelling of 2565538271520 in words is "two trillion, five hundred sixty-five billion, five hundred thirty-eight million, two hundred seventy-one thousand, five hundred twenty".