25305690816 has 840 divisors, whose sum is σ = 96617861120. Its totient is φ = 6395977728.

The previous prime is 25305690769. The next prime is 25305690847. The reversal of 25305690816 is 61809650352.

25305690816 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 569 + 0 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 199257345 + ... + 199257471.

Almost surely, 2^25305690816 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 25305690816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48308930560).

25305690816 is an abundant number, since it is smaller than the sum of its proper divisors (71312170304).

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

25305690816 is a wasteful number, since it uses less digits than its factorization.

25305690816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 25305690816 in words is "twenty-five billion, three hundred five million, six hundred ninety thousand, eight hundred sixteen".