25693065216 has 1040 divisors, whose sum is σ = 101236041984. Its totient is φ = 6306398208.

The previous prime is 25693065187. The next prime is 25693065241. The reversal of 25693065216 is 61256039652.

25693065216 is a `hidden beast` number, since 2 + 569 + 3 + 0 + 65 + 21 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 694407150 + ... + 694407186.

Almost surely, 2^25693065216 is an apocalyptic number.

25693065216 is a gapful number since it is divisible by the number (26) 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 25693065216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50618020992).

25693065216 is an abundant number, since it is smaller than the sum of its proper divisors (75542976768).

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

25693065216 is a wasteful number, since it uses less digits than its factorization.

25693065216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 25693065216 in words is "twenty-five billion, six hundred ninety-three million, sixty-five thousand, two hundred sixteen".