25311424320 has 1344 divisors, whose sum is σ = 114941299200. Its totient is φ = 5267275776.

The previous prime is 25311424309. The next prime is 25311424331. The reversal of 25311424320 is 2342411352.

25311424320 is a `hidden beast` number, since 2 + 5 + 311 + 4 + 24 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (25311424309) and next prime (25311424331).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×25311424320² (a number of 22 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 191 ways as a sum of consecutive naturals, for example, 346731804 + ... + 346731876.

It is an arithmetic number, because the mean of its divisors is an integer number (85521800).

Almost surely, 2^25311424320 is an apocalyptic number.

25311424320 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 25311424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57470649600).

25311424320 is an abundant number, since it is smaller than the sum of its proper divisors (89629874880).

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

25311424320 is an equidigital number, since it uses as much as digits as its factorization.

25311424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 25311424320 its reverse (2342411352), we get a palindrome (27653835672).

The spelling of 25311424320 in words is "twenty-five billion, three hundred eleven million, four hundred twenty-four thousand, three hundred twenty".