10871198652672 has 144 divisors (see below), whose sum is σ = 32168387623680. Its totient is φ = 3621440083968.

The previous prime is 10871198652659. The next prime is 10871198652673. The reversal of 10871198652672 is 27625689117801.

10871198652672 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 11 + 98 + 6 + 526 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10871198652673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10444918 + ... + 11438474.

It is an arithmetic number, because the mean of its divisors is an integer number (223391580720).

Almost surely, 2^{10871198652672} is an apocalyptic number.

10871198652672 is a gapful number since it is divisible by the number (12) 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 10871198652672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084193811840).

10871198652672 is an abundant number, since it is smaller than the sum of its proper divisors (21297188971008).

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

10871198652672 is an equidigital number, since it uses as much as digits as its factorization.

10871198652672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 995165 (or 995145 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 10871198652672 in words is "ten trillion, eight hundred seventy-one billion, one hundred ninety-eight million, six hundred fifty-two thousand, six hundred seventy-two".