25594961760 has 288 divisors, whose sum is σ = 90497010240. Its totient is φ = 6582681600.

The previous prime is 25594961741. The next prime is 25594961761. The reversal of 25594961760 is 6716949552.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 25594961697 and 25594961706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25594961761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5252125 + ... + 5256995.

It is an arithmetic number, because the mean of its divisors is an integer number (314225730).

Almost surely, 2^25594961760 is an apocalyptic number.

25594961760 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 25594961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45248505120).

25594961760 is an abundant number, since it is smaller than the sum of its proper divisors (64902048480).

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

25594961760 is a wasteful number, since it uses less digits than its factorization.

25594961760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5011 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 25594961760 in words is "twenty-five billion, five hundred ninety-four million, nine hundred sixty-one thousand, seven hundred sixty".