25520541696 has 520 divisors, whose sum is σ = 84307866104. Its totient is φ = 7644119040.

The previous prime is 25520541689. The next prime is 25520541707. The reversal of 25520541696 is 69614502552.

25520541696 is a `hidden beast` number, since 2 + 552 + 0 + 5 + 4 + 1 + 6 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 429981696 + 25090560000 = 20736^2 + 158400^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 263098320 + ... + 263098416.

Almost surely, 2^25520541696 is an apocalyptic number.

25520541696 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 25520541696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42153933052).

25520541696 is an abundant number, since it is smaller than the sum of its proper divisors (58787324408).

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

25520541696 is an equidigital number, since it uses as much as digits as its factorization.

25520541696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 25520541696 in words is "twenty-five billion, five hundred twenty million, five hundred forty-one thousand, six hundred ninety-six".