25816347648 has 704 divisors, whose sum is σ = 97428029440. Its totient is φ = 6569164800.

The previous prime is 25816347643. The next prime is 25816347659. The reversal of 25816347648 is 84674361852.

It is a happy number.

25816347648 is a `hidden beast` number, since 2 + 5 + 8 + 163 + 476 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 25816347594 and 25816347603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25816347643) 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, 77994843 + ... + 77995173.

Almost surely, 2^25816347648 is an apocalyptic number.

25816347648 is a gapful number since it is divisible by the number (28) 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 25816347648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48714014720).

25816347648 is an abundant number, since it is smaller than the sum of its proper divisors (71611681792).

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

25816347648 is a wasteful number, since it uses less digits than its factorization.

25816347648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 387 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 25816347648 in words is "twenty-five billion, eight hundred sixteen million, three hundred forty-seven thousand, six hundred forty-eight".