25788248640 has 1344 divisors, whose sum is σ = 118225336320. Its totient is φ = 5195612160.

The previous prime is 25788248639. The next prime is 25788248657. The reversal of 25788248640 is 4684288752.

25788248640 is a `hidden beast` number, since 2 + 578 + 8 + 2 + 4 + 8 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 353263644 + ... + 353263716.

It is an arithmetic number, because the mean of its divisors is an integer number (87965280).

Almost surely, 2^25788248640 is an apocalyptic number.

25788248640 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 25788248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59112668160).

25788248640 is an abundant number, since it is smaller than the sum of its proper divisors (92437087680).

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

25788248640 is a wasteful number, since it uses less digits than its factorization.

25788248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 25788248640 in words is "twenty-five billion, seven hundred eighty-eight million, two hundred forty-eight thousand, six hundred forty".