10896865081600 has 81 divisors (see below), whose sum is σ = 26972097375153. Its totient is φ = 4358640399360.

The previous prime is 10896865081573. The next prime is 10896865081603. The reversal of 10896865081600 is 618056869801.

The square root of 10896865081600 is 3301040.

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

It can be written as a sum of positive squares in only one way, i.e., 3922871429376 + 6973993652224 = 1980624^2 + 2640832^2 .

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10896865081603) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 264062569 + ... + 264103831.

Almost surely, 2^{10896865081600} is an apocalyptic number.

10896865081600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10896865081600 is the 3301040-th square number.

It is an amenable number.

10896865081600 is an abundant number, since it is smaller than the sum of its proper divisors (16075232293553).

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

10896865081600 is an frugal number, since it uses more digits than its factorization.

10896865081600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82552 (or 41270 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 10896865081600 in words is "ten trillion, eight hundred ninety-six billion, eight hundred sixty-five million, eighty-one thousand, six hundred".