11137305527160 has 64 divisors (see below), whose sum is σ = 33439059118080. Its totient is φ = 2967535470720.

The previous prime is 11137305527111. The next prime is 11137305527171. The reversal of 11137305527160 is 6172550373111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37549632 + ... + 37845071.

It is an arithmetic number, because the mean of its divisors is an integer number (522485298720).

Almost surely, 2^{11137305527160} is an apocalyptic number.

11137305527160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11137305527160 is an abundant number, since it is smaller than the sum of its proper divisors (22301753590920).

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

11137305527160 is a wasteful number, since it uses less digits than its factorization.

11137305527160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75395948 (or 75395944 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 11137305527160 in words is "eleven trillion, one hundred thirty-seven billion, three hundred five million, five hundred twenty-seven thousand, one hundred sixty".