11111355556900 has 27 divisors (see below), whose sum is σ = 24111713892819. Its totient is φ = 4444528889280.

The previous prime is 11111355556883. The next prime is 11111355556901. The reversal of 11111355556900 is 965555311111.

The square root of 11111355556900 is 3333370.

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 889728108516 + 10221627448384 = 943254^2 + 3197128^2 .

It is a super-2 number, since 2×11111355556900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11111355556901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 33167032 + ... + 33500368.

Almost surely, 2^{11111355556900} is an apocalyptic number.

11111355556900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11111355556900 is the 3333370-th square number.

It is an amenable number.

11111355556900 is an abundant number, since it is smaller than the sum of its proper divisors (13000358335919).

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

11111355556900 is an frugal number, since it uses more digits than its factorization.

11111355556900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666688 (or 333344 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 43.

The spelling of 11111355556900 in words is "eleven trillion, one hundred eleven billion, three hundred fifty-five million, five hundred fifty-six thousand, nine hundred".