25813097856 has 768 divisors, whose sum is σ = 96948633600. Its totient is φ = 6448066560.

The previous prime is 25813097851. The next prime is 25813097917. The reversal of 25813097856 is 65879031852.

25813097856 is a `hidden beast` number, since 2 + 581 + 3 + 0 + 9 + 7 + 8 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25813097851) 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, 549214825 + ... + 549214871.

It is an arithmetic number, because the mean of its divisors is an integer number (126235200).

Almost surely, 2^25813097856 is an apocalyptic number.

25813097856 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 25813097856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48474316800).

25813097856 is an abundant number, since it is smaller than the sum of its proper divisors (71135535744).

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

25813097856 is a wasteful number, since it uses less digits than its factorization.

25813097856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 25813097856 in words is "twenty-five billion, eight hundred thirteen million, ninety-seven thousand, eight hundred fifty-six".