25665413760 has 640 divisors, whose sum is σ = 105888435840. Its totient is φ = 5802762240.

The previous prime is 25665413749. The next prime is 25665413777. The reversal of 25665413760 is 6731456652.

25665413760 is a `hidden beast` number, since 2 + 566 + 5 + 4 + 13 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 38827830 + ... + 38828490.

It is an arithmetic number, because the mean of its divisors is an integer number (165450681).

Almost surely, 2^25665413760 is an apocalyptic number.

25665413760 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 25665413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52944217920).

25665413760 is an abundant number, since it is smaller than the sum of its proper divisors (80223022080).

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

25665413760 is a wasteful number, since it uses less digits than its factorization.

25665413760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 785 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 25665413760 in words is "twenty-five billion, six hundred sixty-five million, four hundred thirteen thousand, seven hundred sixty".