25214310420 has 192 divisors, whose sum is σ = 78983735040. Its totient is φ = 5967360000.

The previous prime is 25214310389. The next prime is 25214310437. The reversal of 25214310420 is 2401341252.

It is a super-2 number, since 2×25214310420² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5675400 + ... + 5679840.

It is an arithmetic number, because the mean of its divisors is an integer number (411373620).

Almost surely, 2^25214310420 is an apocalyptic number.

25214310420 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 25214310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39491867520).

25214310420 is an abundant number, since it is smaller than the sum of its proper divisors (53769424620).

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

25214310420 is a wasteful number, since it uses less digits than its factorization.

25214310420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746 (or 4744 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 25214310420 its reverse (2401341252), we get a palindrome (27615651672).

The spelling of 25214310420 in words is "twenty-five billion, two hundred fourteen million, three hundred ten thousand, four hundred twenty".