25870669440 has 256 divisors, whose sum is σ = 102811299840. Its totient is φ = 5375692800.

The previous prime is 25870669387. The next prime is 25870669441. The reversal of 25870669440 is 4496607852.

It is not an unprimeable number, because it can be changed into a prime (25870669441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60345 + ... + 235335.

It is an arithmetic number, because the mean of its divisors is an integer number (401606640).

Almost surely, 2^25870669440 is an apocalyptic number.

25870669440 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 25870669440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51405649920).

25870669440 is an abundant number, since it is smaller than the sum of its proper divisors (76940630400).

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

25870669440 is a wasteful number, since it uses less digits than its factorization.

25870669440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175031 (or 175019 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 25870669440 in words is "twenty-five billion, eight hundred seventy million, six hundred sixty-nine thousand, four hundred forty".