25238781965760 has 896 divisors, whose sum is σ = 96621455646720. Its totient is φ = 5510096486400.

The previous prime is 25238781965753. The next prime is 25238781965767. The reversal of 25238781965760 is 6756918783252.

It is an interprime number because it is at equal distance from previous prime (25238781965753) and next prime (25238781965767).

It is a super-2 number, since 2×25238781965760² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25238781965767) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 495270202 + ... + 495321158.

Almost surely, 2^{25238781965760} is an apocalyptic number.

25238781965760 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 25238781965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48310727823360).

25238781965760 is an abundant number, since it is smaller than the sum of its proper divisors (71382673680960).

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

25238781965760 is a wasteful number, since it uses less digits than its factorization.

25238781965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51125 (or 51115 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 69.

The spelling of 25238781965760 in words is "twenty-five trillion, two hundred thirty-eight billion, seven hundred eighty-one million, nine hundred sixty-five thousand, seven hundred sixty".