25503805440 has 312 divisors, whose sum is σ = 89011269360. Its totient is φ = 6754271232.

The previous prime is 25503805423. The next prime is 25503805463. The reversal of 25503805440 is 4450830552.

25503805440 is a `hidden beast` number, since 25 + 503 + 80 + 54 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25503805395 and 25503805404.

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 23 ways as a sum of consecutive naturals, for example, 32992894 + ... + 32993666.

It is an arithmetic number, because the mean of its divisors is an integer number (285292530).

Almost surely, 2^25503805440 is an apocalyptic number.

25503805440 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 25503805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44505634680).

25503805440 is an abundant number, since it is smaller than the sum of its proper divisors (63507463920).

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

25503805440 is a wasteful number, since it uses less digits than its factorization.

25503805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 25503805440 in words is "twenty-five billion, five hundred three million, eight hundred five thousand, four hundred forty".