25126343200 has 144 divisors (see below), whose sum is σ = 72364368384. Its totient is φ = 8336793600.

The previous prime is 25126343173. The next prime is 25126343219. The reversal of 25126343200 is 234362152.

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

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, 101232 + ... + 245968.

It is an arithmetic number, because the mean of its divisors is an integer number (502530336).

Almost surely, 2^25126343200 is an apocalyptic number.

25126343200 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 25126343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36182184192).

25126343200 is an abundant number, since it is smaller than the sum of its proper divisors (47238025184).

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

25126343200 is a wasteful number, since it uses less digits than its factorization.

25126343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144795 (or 144782 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 25126343200 in words is "twenty-five billion, one hundred twenty-six million, three hundred forty-three thousand, two hundred".