25305645456 has 800 divisors, whose sum is σ = 95785536000. Its totient is φ = 6401203200.

The previous prime is 25305645451. The next prime is 25305645461. The reversal of 25305645456 is 65454650352.

25305645456 is a `hidden beast` number, since 2 + 5 + 30 + 564 + 5 + 4 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (25305645451) and next prime (25305645461).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25305645451) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 167586981 + ... + 167587131.

It is an arithmetic number, because the mean of its divisors is an integer number (119731920).

Almost surely, 2^25305645456 is an apocalyptic number.

25305645456 is a gapful number since it is divisible by the number (26) 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 25305645456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47892768000).

25305645456 is an abundant number, since it is smaller than the sum of its proper divisors (70479890544).

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

25305645456 is a wasteful number, since it uses less digits than its factorization.

25305645456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

It can be divided in two parts, 25305 and 645456, that added together give a square (670761 = 819²).

The spelling of 25305645456 in words is "twenty-five billion, three hundred five million, six hundred forty-five thousand, four hundred fifty-six".