25763840000 has 340 divisors, whose sum is σ = 70018652484. Its totient is φ = 9437184000.

The previous prime is 25763839999. The next prime is 25763840009. The reversal of 25763840000 is 4836752.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 10538254336 + 15225585664 = 102656^2 + 123392^2 .

It is a tau number, because it is divible by the number of its divisors (340).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25763840009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 696319982 + ... + 696320018.

Almost surely, 2^25763840000 is an apocalyptic number.

25763840000 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 25763840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35009326242).

25763840000 is an abundant number, since it is smaller than the sum of its proper divisors (44254812484).

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

25763840000 is an frugal number, since it uses more digits than its factorization.

25763840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The spelling of 25763840000 in words is "twenty-five billion, seven hundred sixty-three million, eight hundred forty thousand".