25438062500 has 84 divisors (see below), whose sum is σ = 55851081972. Its totient is φ = 10137600000.

The previous prime is 25438062497. The next prime is 25438062547. The reversal of 25438062500 is 526083452.

It can be written as a sum of positive squares in 14 ways, for example, as 22951644004 + 2486418496 = 151498^2 + 49864^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 22061924 + ... + 22063076.

It is an arithmetic number, because the mean of its divisors is an integer number (664893833).

Almost surely, 2^25438062500 is an apocalyptic number.

25438062500 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 25438062500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27925540986).

25438062500 is an abundant number, since it is smaller than the sum of its proper divisors (30413019472).

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

25438062500 is an equidigital number, since it uses as much as digits as its factorization.

25438062500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 25438062500 in words is "twenty-five billion, four hundred thirty-eight million, sixty-two thousand, five hundred".