25713803082240 has 3360 divisors, whose sum is σ = 120610880945280. Its totient is φ = 5131401560064.

The previous prime is 25713803082239. The next prime is 25713803082251. The reversal of 25713803082240 is 4228030831752.

25713803082240 is a `hidden beast` number, since 2 + 5 + 71 + 38 + 0 + 308 + 2 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×25713803082240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 41947476174 + ... + 41947476786.

Almost surely, 2^{25713803082240} is an apocalyptic number.

25713803082240 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 25713803082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60305440472640).

25713803082240 is an abundant number, since it is smaller than the sum of its proper divisors (94897077863040).

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

25713803082240 is an equidigital number, since it uses as much as digits as its factorization.

25713803082240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 25713803082240 in words is "twenty-five trillion, seven hundred thirteen billion, eight hundred three million, eighty-two thousand, two hundred forty".