25327444472352 has 144 divisors (see below), whose sum is σ = 81197833681440. Its totient is φ = 7674983141760.

The previous prime is 25327444472329. The next prime is 25327444472359.

25327444472352 is a `hidden beast` number, since 2 + 5 + 32 + 74 + 44 + 472 + 35 + 2 = 666.

25327444472352 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (25327444472359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121028398 + ... + 121237485.

It is an arithmetic number, because the mean of its divisors is an integer number (563873845010).

Almost surely, 2^{25327444472352} is an apocalyptic number.

25327444472352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

25327444472352 is an abundant number, since it is smaller than the sum of its proper divisors (55870389209088).

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

25327444472352 is a wasteful number, since it uses less digits than its factorization.

25327444472352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242265924 (or 242265899 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 54.

The spelling of 25327444472352 in words is "twenty-five trillion, three hundred twenty-seven billion, four hundred forty-four million, four hundred seventy-two thousand, three hundred fifty-two".