25352818145280 has 768 divisors, whose sum is σ = 96602108803200. Its totient is φ = 6362964688896.

The previous prime is 25352818145233. The next prime is 25352818145287. The reversal of 25352818145280 is 8254181825352.

25352818145280 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 2 + 8 + 181 + 452 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25352818145287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380679664 + ... + 380746256.

Almost surely, 2^{25352818145280} is an apocalyptic number.

25352818145280 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 25352818145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48301054401600).

25352818145280 is an abundant number, since it is smaller than the sum of its proper divisors (71249290657920).

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

25352818145280 is an frugal number, since it uses more digits than its factorization.

25352818145280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66658 (or 66620 counting only the distinct ones).

The product of its (nonzero) digits is 6144000, while the sum is 54.

The spelling of 25352818145280 in words is "twenty-five trillion, three hundred fifty-two billion, eight hundred eighteen million, one hundred forty-five thousand, two hundred eighty".