25513899840 has 672 divisors, whose sum is σ = 105683864832. Its totient is φ = 5566464000.

The previous prime is 25513899811. The next prime is 25513899847. The reversal of 25513899840 is 4899831552.

25513899840 is a `hidden beast` number, since 2 + 5 + 513 + 89 + 9 + 8 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25513899847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16884685 + ... + 16886195.

It is an arithmetic number, because the mean of its divisors is an integer number (157267656).

Almost surely, 2^25513899840 is an apocalyptic number.

25513899840 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 25513899840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52841932416).

25513899840 is an abundant number, since it is smaller than the sum of its proper divisors (80169964992).

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

25513899840 is a wasteful number, since it uses less digits than its factorization.

25513899840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 25513899840 in words is "twenty-five billion, five hundred thirteen million, eight hundred ninety-nine thousand, eight hundred forty".