10872345560976 has 45 divisors (see below), whose sum is σ = 30427577826321. Its totient is φ = 3624101997696.

The previous prime is 10872345560963. The next prime is 10872345560983. The reversal of 10872345560976 is 67906554327801.

The square root of 10872345560976 is 3297324.

It is a perfect power (a square), and thus also a powerful number.

10872345560976 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 2 + 3 + 4 + 556 + 0 + 9 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1600174400400 + 9272171160576 = 1264980^2 + 3045024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39430500 + ... + 39705276.

It is a 1-persistent number, because it is pandigital, but 2⋅10872345560976 = 21744691121952 is not.

Almost surely, 2^{10872345560976} is an apocalyptic number.

10872345560976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10872345560976 is the 3297324-th square number.

It is an amenable number.

10872345560976 is an abundant number, since it is smaller than the sum of its proper divisors (19555232265345).

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

10872345560976 is an frugal number, since it uses more digits than its factorization.

10872345560976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549568 (or 274782 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 10872345560976 in words is "ten trillion, eight hundred seventy-two billion, three hundred forty-five million, five hundred sixty thousand, nine hundred seventy-six".