10798675665960 has 1536 divisors, whose sum is σ = 44323305062400. Its totient is φ = 2078692761600.

The previous prime is 10798675665949. The next prime is 10798675665971. The reversal of 10798675665960 is 6956657689701.

It is an interprime number because it is at equal distance from previous prime (10798675665949) and next prime (10798675665971).

It is a super-2 number, since 2×10798675665960² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 383 ways as a sum of consecutive naturals, for example, 5534942985 + ... + 5534944935.

It is an arithmetic number, because the mean of its divisors is an integer number (28856318400).

Almost surely, 2^{10798675665960} is an apocalyptic number.

10798675665960 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 10798675665960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22161652531200).

10798675665960 is an abundant number, since it is smaller than the sum of its proper divisors (33524629396440).

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

10798675665960 is a wasteful number, since it uses less digits than its factorization.

10798675665960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 1028764800, while the sum is 75.

The spelling of 10798675665960 in words is "ten trillion, seven hundred ninety-eight billion, six hundred seventy-five million, six hundred sixty-five thousand, nine hundred sixty".