25779248000 has 256 divisors, whose sum is σ = 70939514880. Its totient is φ = 9237760000.

The previous prime is 25779247993. The next prime is 25779248009. The reversal of 25779248000 is 84297752.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25779248009) 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, 12494969 + ... + 12497031.

It is an arithmetic number, because the mean of its divisors is an integer number (277107480).

Almost surely, 2^25779248000 is an apocalyptic number.

25779248000 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 25779248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35469757440).

25779248000 is an abundant number, since it is smaller than the sum of its proper divisors (45160266880).

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

25779248000 is a wasteful number, since it uses less digits than its factorization.

25779248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 25779248000 in words is "twenty-five billion, seven hundred seventy-nine million, two hundred forty-eight thousand".