25868989440 has 1320 divisors, whose sum is σ = 115204177440. Its totient is φ = 5518098432.

The previous prime is 25868989429. The next prime is 25868989441. The reversal of 25868989440 is 4498986852.

25868989440 is a `hidden beast` number, since 2 + 58 + 68 + 9 + 89 + 440 = 666.

It is a super-2 number, since 2×25868989440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25868989441) by changing a digit.

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 119 ways as a sum of consecutive naturals, for example, 386104287 + ... + 386104353.

It is an arithmetic number, because the mean of its divisors is an integer number (87275892).

Almost surely, 2^25868989440 is an apocalyptic number.

25868989440 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 25868989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57602088720).

25868989440 is an abundant number, since it is smaller than the sum of its proper divisors (89335188000).

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

25868989440 is a wasteful number, since it uses less digits than its factorization.

25868989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 25868989440 in words is "twenty-five billion, eight hundred sixty-eight million, nine hundred eighty-nine thousand, four hundred forty".