10892178108900 has 729 divisors, whose sum is σ = 38327661197553. Its totient is φ = 2585346508800.

The previous prime is 10892178108859. The next prime is 10892178108919. The reversal of 10892178108900 is 980187129801.

The square root of 10892178108900 is 3300330.

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

It can be written as a sum of positive squares in 13 ways, for example, as 5295622693284 + 5596555415616 = 2301222^2 + 2365704^2 .

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 242 ways as a sum of consecutive naturals, for example, 79504949632 + ... + 79504949768.

Almost surely, 2^{10892178108900} is an apocalyptic number.

10892178108900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10892178108900 is the 3300330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10892178108900

10892178108900 is an abundant number, since it is smaller than the sum of its proper divisors (27435483088653).

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

10892178108900 is a wasteful number, since it uses less digits than its factorization.

10892178108900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 54.

The spelling of 10892178108900 in words is "ten trillion, eight hundred ninety-two billion, one hundred seventy-eight million, one hundred eight thousand, nine hundred".