25416130800 has 120 divisors (see below), whose sum is σ = 81904507776. Its totient is φ = 6736997120.

The previous prime is 25416130793. The next prime is 25416130801. The reversal of 25416130800 is 803161452.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25416130801) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 136987 + ... + 263813.

Almost surely, 2^25416130800 is an apocalyptic number.

25416130800 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 25416130800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40952253888).

25416130800 is an abundant number, since it is smaller than the sum of its proper divisors (56488376976).

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

25416130800 is a wasteful number, since it uses less digits than its factorization.

25416130800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127015 (or 127004 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 25416130800 in words is "twenty-five billion, four hundred sixteen million, one hundred thirty thousand, eight hundred".