25809377468160 has 288 divisors, whose sum is σ = 96839313113088. Its totient is φ = 5775524904960.

The previous prime is 25809377468153. The next prime is 25809377468213. The reversal of 25809377468160 is 6186477390852.

It is a super-3 number, since 3×25809377468160³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 25809377468091 and 25809377468100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22951552 + ... + 24049791.

It is an arithmetic number, because the mean of its divisors is an integer number (336247614976).

It is a 2-persistent number, because it is pandigital, and so is 2⋅25809377468160 = 51618754936320, but 3⋅25809377468160 = 77428132404480 is not.

Almost surely, 2^{25809377468160} is an apocalyptic number.

25809377468160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25809377468160 is an abundant number, since it is smaller than the sum of its proper divisors (71029935644928).

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

25809377468160 is a wasteful number, since it uses less digits than its factorization.

25809377468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47001391 (or 47001377 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 66.

The spelling of 25809377468160 in words is "twenty-five trillion, eight hundred nine billion, three hundred seventy-seven million, four hundred sixty-eight thousand, one hundred sixty".