10197411589248 has 512 divisors, whose sum is σ = 31205165967360. Its totient is φ = 2922776690688.

The previous prime is 10197411589237. The next prime is 10197411589271. The reversal of 10197411589248 is 84298511479101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10197411589191 and 10197411589200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3638033415 + ... + 3638036217.

It is an arithmetic number, because the mean of its divisors is an integer number (60947589780).

Almost surely, 2^{10197411589248} 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 10197411589248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15602582983680).

10197411589248 is an abundant number, since it is smaller than the sum of its proper divisors (21007754378112).

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

10197411589248 is a wasteful number, since it uses less digits than its factorization.

10197411589248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3276 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 60.

The spelling of 10197411589248 in words is "ten trillion, one hundred ninety-seven billion, four hundred eleven million, five hundred eighty-nine thousand, two hundred forty-eight".