25338706416 has 240 divisors, whose sum is σ = 75153606528. Its totient is φ = 8262777600.

The previous prime is 25338706409. The next prime is 25338706423. The reversal of 25338706416 is 61460783352.

25338706416 is a `hidden beast` number, since 2 + 533 + 8 + 70 + 6 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (25338706409) and next prime (25338706423).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54964426 + ... + 54964886.

Almost surely, 2^25338706416 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 25338706416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37576803264).

25338706416 is an abundant number, since it is smaller than the sum of its proper divisors (49814900112).

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

25338706416 is a wasteful number, since it uses less digits than its factorization.

25338706416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 25338706416 in words is "twenty-five billion, three hundred thirty-eight million, seven hundred six thousand, four hundred sixteen".