10197096575759 has 24 divisors (see below), whose sum is σ = 11231477615232. Its totient is φ = 9239130259920.

The previous prime is 10197096575723. The next prime is 10197096575767. The reversal of 10197096575759 is 95757569079101.

It is a de Polignac number, because none of the positive numbers 2^k-10197096575759 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10197096575692 and 10197096575701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10197096578759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63778532 + ... + 63938214.

It is an arithmetic number, because the mean of its divisors is an integer number (467978233968).

Almost surely, 2^{10197096575759} is an apocalyptic number.

10197096575759 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10197096575759 is a deficient number, since it is larger than the sum of its proper divisors (1034381039473).

10197096575759 is a wasteful number, since it uses less digits than its factorization.

10197096575759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167435 (or 167416 counting only the distinct ones).

The product of its (nonzero) digits is 187535250, while the sum is 71.

The spelling of 10197096575759 in words is "ten trillion, one hundred ninety-seven billion, ninety-six million, five hundred seventy-five thousand, seven hundred fifty-nine".