25442502400 has 216 divisors, whose sum is σ = 73920442400. Its totient is φ = 8486830080.

The previous prime is 25442502389. The next prime is 25442502403. The reversal of 25442502400 is 420524452.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25442502403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649926 + ... + 1665274.

Almost surely, 2^25442502400 is an apocalyptic number.

25442502400 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 25442502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36960221200).

25442502400 is an abundant number, since it is smaller than the sum of its proper divisors (48477940000).

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

25442502400 is a wasteful number, since it uses less digits than its factorization.

25442502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15419 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The spelling of 25442502400 in words is "twenty-five billion, four hundred forty-two million, five hundred two thousand, four hundred".