25405838952 has 384 divisors, whose sum is σ = 75196661760. Its totient is φ = 7132769280.

The previous prime is 25405838911. The next prime is 25405838959. The reversal of 25405838952 is 25983850452.

It is a junction number, because it is equal to n+sod(n) for n = 25405838895 and 25405838904.

It is not an unprimeable number, because it can be changed into a prime (25405838959) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 200045913 + ... + 200046039.

It is an arithmetic number, because the mean of its divisors is an integer number (195824640).

Almost surely, 2^25405838952 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 25405838952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37598330880).

25405838952 is an abundant number, since it is smaller than the sum of its proper divisors (49790822808).

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

25405838952 is a wasteful number, since it uses less digits than its factorization.

25405838952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 51.

The spelling of 25405838952 in words is "twenty-five billion, four hundred five million, eight hundred thirty-eight thousand, nine hundred fifty-two".