25260352171488 has 960 divisors, whose sum is σ = 93633955430400. Its totient is φ = 6517884257280.

The previous prime is 25260352171451. The next prime is 25260352171553. The reversal of 25260352171488 is 88417125306252.

It is a happy number.

25260352171488 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 0 + 3 + 521 + 71 + 48 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 159 ways as a sum of consecutive naturals, for example, 715999033 + ... + 716034311.

It is an arithmetic number, because the mean of its divisors is an integer number (97535370240).

Almost surely, 2^{25260352171488} is an apocalyptic number.

25260352171488 is a gapful number since it is divisible by the number (28) 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 25260352171488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46816977715200).

25260352171488 is an abundant number, since it is smaller than the sum of its proper divisors (68373603258912).

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

25260352171488 is a wasteful number, since it uses less digits than its factorization.

25260352171488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35425 (or 35408 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 25260352171488 in words is "twenty-five trillion, two hundred sixty billion, three hundred fifty-two million, one hundred seventy-one thousand, four hundred eighty-eight".