25355068416 has 440 divisors, whose sum is σ = 79893918720. Its totient is φ = 7998455808.

The previous prime is 25355068393. The next prime is 25355068429. The reversal of 25355068416 is 61486055352.

25355068416 is a `hidden beast` number, since 2 + 5 + 3 + 550 + 6 + 84 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199646145 + ... + 199646271.

It is an arithmetic number, because the mean of its divisors is an integer number (181577088).

Almost surely, 2^25355068416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25355068416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39946959360).

25355068416 is an abundant number, since it is smaller than the sum of its proper divisors (54538850304).

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

25355068416 is a wasteful number, since it uses less digits than its factorization.

25355068416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 25355068416 in words is "twenty-five billion, three hundred fifty-five million, sixty-eight thousand, four hundred sixteen".