25466424248160 has 1440 divisors, whose sum is σ = 106785631925280. Its totient is φ = 5696916406272.

The previous prime is 25466424248117. The next prime is 25466424248249. The reversal of 25466424248160 is 6184242466452.

25466424248160 is a `hidden beast` number, since 2 + 5 + 4 + 6 + 64 + 2 + 42 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a junction number, because it is equal to n+sod(n) for n = 25466424248097 and 25466424248106.

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 239 ways as a sum of consecutive naturals, for example, 19756728796 + ... + 19756730084.

It is an arithmetic number, because the mean of its divisors is an integer number (74156688837).

Almost surely, 2^{25466424248160} is an apocalyptic number.

25466424248160 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 25466424248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53392815962640).

25466424248160 is an abundant number, since it is smaller than the sum of its proper divisors (81319207677120).

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

25466424248160 is a wasteful number, since it uses less digits than its factorization.

25466424248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 54.

The spelling of 25466424248160 in words is "twenty-five trillion, four hundred sixty-six billion, four hundred twenty-four million, two hundred forty-eight thousand, one hundred sixty".