25969067040 has 288 divisors, whose sum is σ = 98230454784. Its totient is φ = 5744148480.

The previous prime is 25969067029. The next prime is 25969067053. The reversal of 25969067040 is 4076096952.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 711312 + ... + 746928.

It is an arithmetic number, because the mean of its divisors is an integer number (341077968).

Almost surely, 2^25969067040 is an apocalyptic number.

25969067040 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 25969067040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49115227392).

25969067040 is an abundant number, since it is smaller than the sum of its proper divisors (72261387744).

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

25969067040 is a wasteful number, since it uses less digits than its factorization.

25969067040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35680 (or 35665 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 25969067040 in words is "twenty-five billion, nine hundred sixty-nine million, sixty-seven thousand, forty".