25456473600 has 960 divisors, whose sum is σ = 97178780160. Its totient is φ = 5839257600.

The previous prime is 25456473599. The next prime is 25456473661. The reversal of 25456473600 is 637465452.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620889580 + ... + 620889620.

It is an arithmetic number, because the mean of its divisors is an integer number (101227896).

Almost surely, 2^25456473600 is an apocalyptic number.

25456473600 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 25456473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48589390080).

25456473600 is an abundant number, since it is smaller than the sum of its proper divisors (71722306560).

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

25456473600 is a wasteful number, since it uses less digits than its factorization.

25456473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 25456473600 in words is "twenty-five billion, four hundred fifty-six million, four hundred seventy-three thousand, six hundred".