25269289493760 has 1080 divisors, whose sum is σ = 98413978924800. Its totient is φ = 6188021858304.

The previous prime is 25269289493647. The next prime is 25269289493761. The reversal of 25269289493760 is 6739498296252.

It is a happy number.

25269289493760 is a `hidden beast` number, since 2 + 5 + 2 + 69 + 2 + 8 + 9 + 493 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25269289493761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3486858457 + ... + 3486865703.

It is an arithmetic number, because the mean of its divisors is an integer number (91124054560).

Almost surely, 2^{25269289493760} is an apocalyptic number.

25269289493760 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 25269289493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49206989462400).

25269289493760 is an abundant number, since it is smaller than the sum of its proper divisors (73144689431040).

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

25269289493760 is a wasteful number, since it uses less digits than its factorization.

25269289493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7505 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 25269289493760 in words is "twenty-five trillion, two hundred sixty-nine billion, two hundred eighty-nine million, four hundred ninety-three thousand, seven hundred sixty".