25518343680 has 960 divisors, whose sum is σ = 102953410560. Its totient is φ = 6019743744.

The previous prime is 25518343673. The next prime is 25518343693. The reversal of 25518343680 is 8634381552.

25518343680 is a `hidden beast` number, since 2 + 551 + 8 + 34 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 200931777 + ... + 200931903.

It is an arithmetic number, because the mean of its divisors is an integer number (107243136).

Almost surely, 2^25518343680 is an apocalyptic number.

25518343680 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 25518343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51476705280).

25518343680 is an abundant number, since it is smaller than the sum of its proper divisors (77435066880).

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

25518343680 is a wasteful number, since it uses less digits than its factorization.

25518343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 25518343680 in words is "twenty-five billion, five hundred eighteen million, three hundred forty-three thousand, six hundred eighty".