25612210400 has 144 divisors (see below), whose sum is σ = 73120569984. Its totient is φ = 8577031680.

The previous prime is 25612210391. The next prime is 25612210427. The reversal of 25612210400 is 401221652.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187619 + ... + 293981.

It is an arithmetic number, because the mean of its divisors is an integer number (507781736).

Almost surely, 2^25612210400 is an apocalyptic number.

25612210400 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 25612210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560284992).

25612210400 is an abundant number, since it is smaller than the sum of its proper divisors (47508359584).

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

25612210400 is a wasteful number, since it uses less digits than its factorization.

25612210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106433 (or 106420 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The spelling of 25612210400 in words is "twenty-five billion, six hundred twelve million, two hundred ten thousand, four hundred".