11109755596900 has 81 divisors (see below), whose sum is σ = 24281910019969. Its totient is φ = 4412104178560.

The previous prime is 11109755596883. The next prime is 11109755596963. The reversal of 11109755596900 is 969555790111.

The square root of 11109755596900 is 3333130.

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 8334226252836 + 2775529344064 = 2886906^2 + 1665992^2 .

It is a super-2 number, since 2×11109755596900² (a number of 27 digits) contains 22 as substring.

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, 4966362582 + ... + 4966364818.

Almost surely, 2^{11109755596900} is an apocalyptic number.

11109755596900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11109755596900 is the 3333130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11109755596900

11109755596900 is an abundant number, since it is smaller than the sum of its proper divisors (13172154423069).

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

11109755596900 is an frugal number, since it uses more digits than its factorization.

11109755596900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 3827250, while the sum is 58.

The spelling of 11109755596900 in words is "eleven trillion, one hundred nine billion, seven hundred fifty-five million, five hundred ninety-six thousand, nine hundred".