25709053440 has 480 divisors, whose sum is σ = 97486662240. Its totient is φ = 5761007616.

The previous prime is 25709053429. The next prime is 25709053451. The reversal of 25709053440 is 4435090752.

It is an interprime number because it is at equal distance from previous prime (25709053429) and next prime (25709053451).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19944316 + ... + 19945604.

It is an arithmetic number, because the mean of its divisors is an integer number (203097213).

Almost surely, 2^25709053440 is an apocalyptic number.

25709053440 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 25709053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48743331120).

25709053440 is an abundant number, since it is smaller than the sum of its proper divisors (71777608800).

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

25709053440 is a wasteful number, since it uses less digits than its factorization.

25709053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The spelling of 25709053440 in words is "twenty-five billion, seven hundred nine million, fifty-three thousand, four hundred forty".