25764342240 has 384 divisors, whose sum is σ = 100158170112. Its totient is φ = 5421219840.

The previous prime is 25764342223. The next prime is 25764342269. The reversal of 25764342240 is 4224346752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24940764 + ... + 24941796.

It is an arithmetic number, because the mean of its divisors is an integer number (260828568).

Almost surely, 2^25764342240 is an apocalyptic number.

25764342240 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 25764342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50079085056).

25764342240 is an abundant number, since it is smaller than the sum of its proper divisors (74393827872).

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

25764342240 is a wasteful number, since it uses less digits than its factorization.

25764342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 39.

Adding to 25764342240 its reverse (4224346752), we get a palindrome (29988688992).

The spelling of 25764342240 in words is "twenty-five billion, seven hundred sixty-four million, three hundred forty-two thousand, two hundred forty".