25748995547520 has 1536 divisors, whose sum is σ = 107722478223360. Its totient is φ = 5756031590400.

The previous prime is 25748995547503. The next prime is 25748995547531. The reversal of 25748995547520 is 2574559984752.

It is a happy number.

25748995547520 is a `hidden beast` number, since 2 + 5 + 7 + 4 + 8 + 9 + 9 + 55 + 47 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10125439369 + ... + 10125441911.

It is an arithmetic number, because the mean of its divisors is an integer number (70131821760).

Almost surely, 2^{25748995547520} is an apocalyptic number.

25748995547520 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 25748995547520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53861239111680).

25748995547520 is an abundant number, since it is smaller than the sum of its proper divisors (81973482675840).

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

25748995547520 is a wasteful number, since it uses less digits than its factorization.

25748995547520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 1270080000, while the sum is 72.

The spelling of 25748995547520 in words is "twenty-five trillion, seven hundred forty-eight billion, nine hundred ninety-five million, five hundred forty-seven thousand, five hundred twenty".