11007199644100 has 81 divisors (see below), whose sum is σ = 26255315871463. Its totient is φ = 4002485344000.

The previous prime is 11007199644097. The next prime is 11007199644253. The reversal of 11007199644100 is 144699170011.

The square root of 11007199644100 is 3317710.

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 347705991556 + 10659493652544 = 589666^2 + 3264888^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 364933020 + ... + 364963180.

Almost surely, 2^{11007199644100} is an apocalyptic number.

11007199644100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11007199644100 is the 3317710-th square number.

It is an amenable number.

11007199644100 is an abundant number, since it is smaller than the sum of its proper divisors (15248116227363).

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

11007199644100 is an frugal number, since it uses more digits than its factorization.

11007199644100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60358 (or 30179 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 43.

The spelling of 11007199644100 in words is "eleven trillion, seven billion, one hundred ninety-nine million, six hundred forty-four thousand, one hundred".