25313400000 has 1008 divisors, whose sum is σ = 108339940800. Its totient is φ = 5644800000.

The previous prime is 25313399989. The next prime is 25313400017. The reversal of 25313400000 is 431352.

25313400000 is a `hidden beast` number, since 253 + 13 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 617399980 + ... + 617400020.

It is an arithmetic number, because the mean of its divisors is an integer number (107480100).

Almost surely, 2^25313400000 is an apocalyptic number.

25313400000 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 25313400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54169970400).

25313400000 is an abundant number, since it is smaller than the sum of its proper divisors (83026540800).

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

25313400000 is an frugal number, since it uses more digits than its factorization.

25313400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 25313400000 its reverse (431352), we get a palindrome (25313831352).

The spelling of 25313400000 in words is "twenty-five billion, three hundred thirteen million, four hundred thousand".