10025708955648 has 192 divisors, whose sum is σ = 28204229289600. Its totient is φ = 3160682004480.

The previous prime is 10025708955637. The next prime is 10025708955653. The reversal of 10025708955648 is 84655980752001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 10025708955591 and 10025708955600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12178188 + ... + 12975348.

It is an arithmetic number, because the mean of its divisors is an integer number (146897027550).

Almost surely, 2^{10025708955648} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10025708955648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14102114644800).

10025708955648 is an abundant number, since it is smaller than the sum of its proper divisors (18178520333952).

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

10025708955648 is an equidigital number, since it uses as much as digits as its factorization.

10025708955648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797298 (or 797278 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 10025708955648 in words is "ten trillion, twenty-five billion, seven hundred eight million, nine hundred fifty-five thousand, six hundred forty-eight".