25809417407536 has 160 divisors (see below), whose sum is σ = 59278479077376. Its totient is φ = 10652608512000.

The previous prime is 25809417407533. The next prime is 25809417407537. The reversal of 25809417407536 is 63570471490852.

It is a super-2 number, since 2×25809417407536² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25809417407533) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1683471391 + ... + 1683486721.

It is a 1-persistent number, because it is pandigital, but 2⋅25809417407536 = 51618834815072 is not.

Almost surely, 2^{25809417407536} 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 25809417407536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29639239538688).

25809417407536 is an abundant number, since it is smaller than the sum of its proper divisors (33469061669840).

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

25809417407536 is a wasteful number, since it uses less digits than its factorization.

25809417407536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17691 (or 17685 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 61.

The spelling of 25809417407536 in words is "twenty-five trillion, eight hundred nine billion, four hundred seventeen million, four hundred seven thousand, five hundred thirty-six".