11166511200000 has 1728 divisors, whose sum is σ = 43578484548480. Its totient is φ = 2512650240000.

The previous prime is 11166511199971. The next prime is 11166511200049. The reversal of 11166511200000 is 211566111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19624799716 + ... + 19624800284.

It is an arithmetic number, because the mean of its divisors is an integer number (25219030410).

Almost surely, 2^{11166511200000} is an apocalyptic number.

11166511200000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11166511200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21789242274240).

11166511200000 is an abundant number, since it is smaller than the sum of its proper divisors (32411973348480).

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

11166511200000 is an equidigital number, since it uses as much as digits as its factorization.

11166511200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

Adding to 11166511200000 its reverse (211566111), we get a palindrome (11166722766111).

The spelling of 11166511200000 in words is "eleven trillion, one hundred sixty-six billion, five hundred eleven million, two hundred thousand".