25959705552 has 240 divisors, whose sum is σ = 82674708480. Its totient is φ = 7820323200.

The previous prime is 25959705539. The next prime is 25959705581. The reversal of 25959705552 is 25550795952.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7653777 + ... + 7657167.

It is an arithmetic number, because the mean of its divisors is an integer number (344477952).

Almost surely, 2^25959705552 is an apocalyptic number.

25959705552 is a gapful number since it is divisible by the number (22) 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 25959705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41337354240).

25959705552 is an abundant number, since it is smaller than the sum of its proper divisors (56715002928).

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

25959705552 is a wasteful number, since it uses less digits than its factorization.

25959705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 7087500, while the sum is 54.

The spelling of 25959705552 in words is "twenty-five billion, nine hundred fifty-nine million, seven hundred five thousand, five hundred fifty-two".