25505443611648 has 1056 divisors, whose sum is σ = 101295155549952. Its totient is φ = 5965951795200.

The previous prime is 25505443611631. The next prime is 25505443611677. The reversal of 25505443611648 is 84611634450552.

25505443611648 is a `hidden beast` number, since 2 + 5 + 5 + 0 + 54 + 436 + 116 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a junction number, because it is equal to n+sod(n) for n = 25505443611594 and 25505443611603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 378200140 + ... + 378267572.

Almost surely, 2^{25505443611648} is an apocalyptic number.

25505443611648 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 25505443611648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50647577774976).

25505443611648 is an abundant number, since it is smaller than the sum of its proper divisors (75789711938304).

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

25505443611648 is a wasteful number, since it uses less digits than its factorization.

25505443611648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67531 (or 67510 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 25505443611648 in words is "twenty-five trillion, five hundred five billion, four hundred forty-three million, six hundred eleven thousand, six hundred forty-eight".