25345320000 has 1120 divisors, whose sum is σ = 113044614144. Its totient is φ = 4838400000.

The previous prime is 25345319953. The next prime is 25345320001. The reversal of 25345320000 is 2354352.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (25345320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 120119895 + ... + 120120105.

Almost surely, 2^25345320000 is an apocalyptic number.

25345320000 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 25345320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56522307072).

25345320000 is an abundant number, since it is smaller than the sum of its proper divisors (87699294144).

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

25345320000 is a wasteful number, since it uses less digits than its factorization.

25345320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

Adding to 25345320000 its reverse (2354352), we get a palindrome (25347674352).

The spelling of 25345320000 in words is "twenty-five billion, three hundred forty-five million, three hundred twenty thousand".