25564828345056 has 1152 divisors, whose sum is σ = 103001943582720. Its totient is φ = 5796922982400.

The previous prime is 25564828345009. The next prime is 25564828345057. The reversal of 25564828345056 is 65054382846552.

25564828345056 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 48 + 2 + 83 + 4 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 25564828344984 and 25564828345002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25564828345057) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 590103876 + ... + 590147196.

It is an arithmetic number, because the mean of its divisors is an integer number (89411409360).

Almost surely, 2^{25564828345056} is an apocalyptic number.

25564828345056 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 25564828345056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51500971791360).

25564828345056 is an abundant number, since it is smaller than the sum of its proper divisors (77437115237664).

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

25564828345056 is a wasteful number, since it uses less digits than its factorization.

25564828345056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43480 (or 43469 counting only the distinct ones).

The product of its (nonzero) digits is 276480000, while the sum is 63.

The spelling of 25564828345056 in words is "twenty-five trillion, five hundred sixty-four billion, eight hundred twenty-eight million, three hundred forty-five thousand, fifty-six".