11137212224160 has 96 divisors (see below), whose sum is σ = 38271511115712. Its totient is φ = 2699930234880.

The previous prime is 11137212224129. The next prime is 11137212224209. The reversal of 11137212224160 is 6142221273111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11137212224160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1054654969 + ... + 1054665528.

It is an arithmetic number, because the mean of its divisors is an integer number (398661574122).

Almost surely, 2^{11137212224160} is an apocalyptic number.

11137212224160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137212224160 is an abundant number, since it is smaller than the sum of its proper divisors (27134298891552).

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

11137212224160 is a wasteful number, since it uses less digits than its factorization.

11137212224160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109320526 (or 2109320518 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 11137212224160 its reverse (6142221273111), we get a palindrome (17279433497271).

The spelling of 11137212224160 in words is "eleven trillion, one hundred thirty-seven billion, two hundred twelve million, two hundred twenty-four thousand, one hundred sixty".