10197096575760 has 240 divisors, whose sum is σ = 34774054121664. Its totient is φ = 2677277611008.

The previous prime is 10197096575723. The next prime is 10197096575767. The reversal of 10197096575760 is 6757569079101.

10197096575760 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 0 + 9 + 6 + 57 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (10197096575767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 96571954 + ... + 96677486.

Almost surely, 2^{10197096575760} is an apocalyptic number.

10197096575760 is a gapful number since it is divisible by the number (10) 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 10197096575760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387027060832).

10197096575760 is an abundant number, since it is smaller than the sum of its proper divisors (24576957545904).

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

10197096575760 is a wasteful number, since it uses less digits than its factorization.

10197096575760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107622 (or 107613 counting only the distinct ones).

The product of its (nonzero) digits is 25004700, while the sum is 63.

The spelling of 10197096575760 in words is "ten trillion, one hundred ninety-seven billion, ninety-six million, five hundred seventy-five thousand, seven hundred sixty".