25500081600 has 1008 divisors, whose sum is σ = 114619235328. Its totient is φ = 5239111680.

The previous prime is 25500081599. The next prime is 25500081613. The reversal of 25500081600 is 618000552.

25500081600 is a `hidden beast` number, since 2 + 5 + 50 + 0 + 0 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39412477 + ... + 39413123.

Almost surely, 2^25500081600 is an apocalyptic number.

25500081600 is a gapful number since it is divisible by the number (20) 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 25500081600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57309617664).

25500081600 is an abundant number, since it is smaller than the sum of its proper divisors (89119153728).

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

25500081600 is a wasteful number, since it uses less digits than its factorization.

25500081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 25500081600 in words is "twenty-five billion, five hundred million, eighty-one thousand, six hundred".