25213332144 has 320 divisors, whose sum is σ = 89112296448. Its totient is φ = 5930496000.

The previous prime is 25213332119. The next prime is 25213332149. The reversal of 25213332144 is 44123331252.

It is not an unprimeable number, because it can be changed into a prime (25213332149) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2541594 + ... + 2551494.

Almost surely, 2^25213332144 is an apocalyptic number.

25213332144 is a gapful number since it is divisible by the number (24) 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 25213332144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44556148224).

25213332144 is an abundant number, since it is smaller than the sum of its proper divisors (63898964304).

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

25213332144 is a wasteful number, since it uses less digits than its factorization.

25213332144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9996 (or 9990 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

Adding to 25213332144 its reverse (44123331252), we get a palindrome (69336663396).

The spelling of 25213332144 in words is "twenty-five billion, two hundred thirteen million, three hundred thirty-two thousand, one hundred forty-four".