25332664560 has 320 divisors, whose sum is σ = 91521761280. Its totient is φ = 5677102080.

The previous prime is 25332664549. The next prime is 25332664571. The reversal of 25332664560 is 6546623352.

It is an interprime number because it is at equal distance from previous prime (25332664549) and next prime (25332664571).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21632775 + ... + 21633945.

It is an arithmetic number, because the mean of its divisors is an integer number (286005504).

Almost surely, 2^25332664560 is an apocalyptic number.

25332664560 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 25332664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45760880640).

25332664560 is an abundant number, since it is smaller than the sum of its proper divisors (66189096720).

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

25332664560 is a wasteful number, since it uses less digits than its factorization.

25332664560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 25332664560 in words is "twenty-five billion, three hundred thirty-two million, six hundred sixty-four thousand, five hundred sixty".