25513521315840 has 2112 divisors, whose sum is σ = 105527321303040. Its totient is φ = 5870683422720.

The previous prime is 25513521315713. The next prime is 25513521315847. The reversal of 25513521315840 is 4851312531552.

25513521315840 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 3 + 52 + 13 + 1 + 584 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25513521315847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 823016816625 + ... + 823016816655.

Almost surely, 2^{25513521315840} is an apocalyptic number.

25513521315840 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 25513521315840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52763660651520).

25513521315840 is an abundant number, since it is smaller than the sum of its proper divisors (80013799987200).

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

25513521315840 is an frugal number, since it uses more digits than its factorization.

25513521315840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 25513521315840 in words is "twenty-five trillion, five hundred thirteen billion, five hundred twenty-one million, three hundred fifteen thousand, eight hundred forty".