10791054400 has 315 divisors, whose sum is σ = 31571838431. Its totient is φ = 3629982720.

The previous prime is 10791054353. The next prime is 10791054437. The reversal of 10791054400 is 445019701.

The square root of 10791054400 is 103880.

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 81288256 + 10709766144 = 9016^2 + 103488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 203604774 + ... + 203604826.

Almost surely, 2^10791054400 is an apocalyptic number.

10791054400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10791054400 is the 103880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10791054400

10791054400 is an abundant number, since it is smaller than the sum of its proper divisors (20780784031).

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

10791054400 is an frugal number, since it uses more digits than its factorization.

10791054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 10791054400 in words is "ten billion, seven hundred ninety-one million, fifty-four thousand, four hundred".