25895200006560 has 96 divisors (see below), whose sum is σ = 81725846166720. Its totient is φ = 6892183185408.

The previous prime is 25895200006469. The next prime is 25895200006591. The reversal of 25895200006560 is 6560000259852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25895200006560² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 51324805 + ... + 51826884.

It is an arithmetic number, because the mean of its divisors is an integer number (851310897570).

Almost surely, 2^{25895200006560} is an apocalyptic number.

25895200006560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25895200006560 is an abundant number, since it is smaller than the sum of its proper divisors (55830646160160).

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

25895200006560 is a wasteful number, since it uses less digits than its factorization.

25895200006560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103152230 (or 103152222 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 25895200006560 in words is "twenty-five trillion, eight hundred ninety-five billion, two hundred million, six thousand, five hundred sixty".