11151505105160 has 192 divisors, whose sum is σ = 29495715580800. Its totient is φ = 3783066556416.

The previous prime is 11151505105043. The next prime is 11151505105201. The reversal of 11151505105160 is 6150150515111.

It is a super-2 number, since 2×11151505105160² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175923392 + ... + 175986768.

It is an arithmetic number, because the mean of its divisors is an integer number (153623518650).

Almost surely, 2^{11151505105160} is an apocalyptic number.

11151505105160 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 11151505105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14747857790400).

11151505105160 is an abundant number, since it is smaller than the sum of its proper divisors (18344210475640).

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

11151505105160 is a wasteful number, since it uses less digits than its factorization.

11151505105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64348 (or 64337 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 32.

The spelling of 11151505105160 in words is "eleven trillion, one hundred fifty-one billion, five hundred five million, one hundred five thousand, one hundred sixty".