11181800436810 has 64 divisors (see below), whose sum is σ = 26895103736832. Its totient is φ = 2975286767616.

The previous prime is 11181800436769. The next prime is 11181800436817. The reversal of 11181800436810 is 1863400818111.

It is a super-2 number, since 2×11181800436810² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11181800436817) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 38056824 + ... + 38349516.

It is an arithmetic number, because the mean of its divisors is an integer number (420235995888).

Almost surely, 2^{11181800436810} is an apocalyptic number.

11181800436810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11181800436810 is an abundant number, since it is smaller than the sum of its proper divisors (15713303300022).

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

11181800436810 is a wasteful number, since it uses less digits than its factorization.

11181800436810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295487.

The product of its (nonzero) digits is 36864, while the sum is 42.

It can be divided in two parts, 11181800 and 436810, that added together give a triangular number (11618610 = T₄₈₂₀).

The spelling of 11181800436810 in words is "eleven trillion, one hundred eighty-one billion, eight hundred million, four hundred thirty-six thousand, eight hundred ten".