20025325440 has 640 divisors, whose sum is σ = 78270001920. Its totient is φ = 4857200640.

The previous prime is 20025325387. The next prime is 20025325451. The reversal of 20025325440 is 4452352002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×20025325440² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27319314 + ... + 27320046.

It is an arithmetic number, because the mean of its divisors is an integer number (122296878).

Almost surely, 2^20025325440 is an apocalyptic number.

20025325440 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 20025325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39135000960).

20025325440 is an abundant number, since it is smaller than the sum of its proper divisors (58244676480).

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

20025325440 is a wasteful number, since it uses less digits than its factorization.

20025325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 20025325440 its reverse (4452352002), we get a palindrome (24477677442).

The spelling of 20025325440 in words is "twenty billion, twenty-five million, three hundred twenty-five thousand, four hundred forty".