25193468633088 has 224 divisors, whose sum is σ = 76796644634496. Its totient is φ = 7196142993408.

The previous prime is 25193468633071. The next prime is 25193468633141. The reversal of 25193468633088 is 88033686439152.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 690346170 + ... + 690382662.

Almost surely, 2^{25193468633088} is an apocalyptic number.

25193468633088 is a gapful number since it is divisible by the number (28) 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 25193468633088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38398322317248).

25193468633088 is an abundant number, since it is smaller than the sum of its proper divisors (51603176001408).

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

25193468633088 is an equidigital number, since it uses as much as digits as its factorization.

25193468633088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40542 (or 40518 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 66.

The spelling of 25193468633088 in words is "twenty-five trillion, one hundred ninety-three billion, four hundred sixty-eight million, six hundred thirty-three thousand, eighty-eight".