25332542144 has 224 divisors, whose sum is σ = 65330832000. Its totient is φ = 9672929280.

The previous prime is 25332542143. The next prime is 25332542153. The reversal of 25332542144 is 44124523352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×25332542144² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25332542143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8274374 + ... + 8277434.

It is an arithmetic number, because the mean of its divisors is an integer number (291655500).

Almost surely, 2^25332542144 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 25332542144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32665416000).

25332542144 is an abundant number, since it is smaller than the sum of its proper divisors (39998289856).

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

25332542144 is a wasteful number, since it uses less digits than its factorization.

25332542144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3136 (or 3112 counting only the distinct ones).

The product of its digits is 115200, while the sum is 35.

The spelling of 25332542144 in words is "twenty-five billion, three hundred thirty-two million, five hundred forty-two thousand, one hundred forty-four".