10792341928900 has 243 divisors, whose sum is σ = 27673929081351. Its totient is φ = 3642596496000.

The previous prime is 10792341928877. The next prime is 10792341928939. The reversal of 10792341928900 is 982914329701.

It is a happy number.

The square root of 10792341928900 is 3285170.

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

It can be written as a sum of positive squares in 4 ways, for example, as 317642705604 + 10474699223296 = 563598^2 + 3236464^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16327294570 + ... + 16327295230.

Almost surely, 2^{10792341928900} is an apocalyptic number.

10792341928900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10792341928900 is the 3285170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10792341928900

10792341928900 is an abundant number, since it is smaller than the sum of its proper divisors (16881587152451).

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

10792341928900 is an frugal number, since it uses more digits than its factorization.

10792341928900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 55.

The spelling of 10792341928900 in words is "ten trillion, seven hundred ninety-two billion, three hundred forty-one million, nine hundred twenty-eight thousand, nine hundred".