25352555904 has 512 divisors, whose sum is σ = 84446208000. Its totient is φ = 7435100160.

The previous prime is 25352555903. The next prime is 25352555953. The reversal of 25352555904 is 40955525352.

It is a happy number.

25352555904 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 2 + 55 + 590 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 25352555904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25352555903) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151811629 + ... + 151811795.

It is an arithmetic number, because the mean of its divisors is an integer number (164934000).

Almost surely, 2^25352555904 is an apocalyptic number.

25352555904 is a gapful number since it is divisible by the number (24) 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 25352555904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42223104000).

25352555904 is an abundant number, since it is smaller than the sum of its proper divisors (59093652096).

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

25352555904 is a wasteful number, since it uses less digits than its factorization.

25352555904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1350000, while the sum is 45.

The spelling of 25352555904 in words is "twenty-five billion, three hundred fifty-two million, five hundred fifty-five thousand, nine hundred four".