25281420000 has 480 divisors, whose sum is σ = 87290058240. Its totient is φ = 6397440000.

The previous prime is 25281419983. The next prime is 25281420013. The reversal of 25281420000 is 2418252.

It is a tau number, because it is divible by the number of its divisors (480).

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

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 79 ways as a sum of consecutive naturals, for example, 105779881 + ... + 105780119.

It is an arithmetic number, because the mean of its divisors is an integer number (181854288).

Almost surely, 2^25281420000 is an apocalyptic number.

25281420000 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 25281420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43645029120).

25281420000 is an abundant number, since it is smaller than the sum of its proper divisors (62008638240).

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

25281420000 is a wasteful number, since it uses less digits than its factorization.

25281420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 25281420000 its reverse (2418252), we get a palindrome (25283838252).

The spelling of 25281420000 in words is "twenty-five billion, two hundred eighty-one million, four hundred twenty thousand".