25959505152 has 288 divisors, whose sum is σ = 83073392640. Its totient is φ = 7039918080.

The previous prime is 25959505141. The next prime is 25959505163. The reversal of 25959505152 is 25150595952.

It is an interprime number because it is at equal distance from previous prime (25959505141) and next prime (25959505163).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8831299 + ... + 8834237.

It is an arithmetic number, because the mean of its divisors is an integer number (288449280).

Almost surely, 2^25959505152 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 25959505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41536696320).

25959505152 is an abundant number, since it is smaller than the sum of its proper divisors (57113887488).

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

25959505152 is a wasteful number, since it uses less digits than its factorization.

25959505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3049 (or 3035 counting only the distinct ones).

The product of its (nonzero) digits is 1012500, while the sum is 48.

The spelling of 25959505152 in words is "twenty-five billion, nine hundred fifty-nine million, five hundred five thousand, one hundred fifty-two".