25744976320 has 224 divisors, whose sum is σ = 71981568000. Its totient is φ = 8766600192.

The previous prime is 25744976303. The next prime is 25744976321. The reversal of 25744976320 is 2367944752.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25744976321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17890161 + ... + 17891599.

Almost surely, 2^25744976320 is an apocalyptic number.

25744976320 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 25744976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35990784000).

25744976320 is an abundant number, since it is smaller than the sum of its proper divisors (46236591680).

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

25744976320 is a wasteful number, since it uses less digits than its factorization.

25744976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1616 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 49.

The spelling of 25744976320 in words is "twenty-five billion, seven hundred forty-four million, nine hundred seventy-six thousand, three hundred twenty".