25284938144352 has 96 divisors (see below), whose sum is σ = 66924411499008. Its totient is φ = 8358510859776.

The previous prime is 25284938144351. The next prime is 25284938144363. The reversal of 25284938144352 is 25344183948252.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25284938144352² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25284938144351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5500038 + ... + 8990010.

It is an arithmetic number, because the mean of its divisors is an integer number (697129286448).

Almost surely, 2^{25284938144352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25284938144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33462205749504).

25284938144352 is an abundant number, since it is smaller than the sum of its proper divisors (41639473354656).

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

25284938144352 is a wasteful number, since it uses less digits than its factorization.

25284938144352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3490612 (or 3490604 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 60.

The spelling of 25284938144352 in words is "twenty-five trillion, two hundred eighty-four billion, nine hundred thirty-eight million, one hundred forty-four thousand, three hundred fifty-two".