25263088664880 has 320 divisors, whose sum is σ = 90858909657600. Its totient is φ = 5742233026560.

The previous prime is 25263088664873. The next prime is 25263088664909. The reversal of 25263088664880 is 8846688036252.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 2269386 + ... + 7461654.

It is an arithmetic number, because the mean of its divisors is an integer number (283934092680).

Almost surely, 2^{25263088664880} is an apocalyptic number.

25263088664880 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 25263088664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45429454828800).

25263088664880 is an abundant number, since it is smaller than the sum of its proper divisors (65595820992720).

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

25263088664880 is a wasteful number, since it uses less digits than its factorization.

25263088664880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5192412 (or 5192406 counting only the distinct ones).

The product of its (nonzero) digits is 212336640, while the sum is 66.

The spelling of 25263088664880 in words is "twenty-five trillion, two hundred sixty-three billion, eighty-eight million, six hundred sixty-four thousand, eight hundred eighty".