10675158528896 has 128 divisors (see below), whose sum is σ = 21849296620800. Its totient is φ = 5192444694528.

The previous prime is 10675158528869. The next prime is 10675158528901. The reversal of 10675158528896 is 69882585157601.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10675158528896² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 3216376325 + ... + 3216379643.

It is an arithmetic number, because the mean of its divisors is an integer number (170697629850).

Almost surely, 2^{10675158528896} is an apocalyptic number.

10675158528896 is a gapful number since it is divisible by the number (16) 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 10675158528896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10924648310400).

10675158528896 is an abundant number, since it is smaller than the sum of its proper divisors (11174138091904).

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

10675158528896 is a wasteful number, since it uses less digits than its factorization.

10675158528896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 290304000, while the sum is 71.

The spelling of 10675158528896 in words is "ten trillion, six hundred seventy-five billion, one hundred fifty-eight million, five hundred twenty-eight thousand, eight hundred ninety-six".