11515011106900 has 36 divisors (see below), whose sum is σ = 28557227546848. Its totient is φ = 3948003807840.

The previous prime is 11515011106811. The next prime is 11515011106901. The reversal of 11515011106900 is 960111051511.

It is a super-2 number, since 2×11515011106900² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515011106901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8225007234 + ... + 8225008633.

Almost surely, 2^{11515011106900} is an apocalyptic number.

11515011106900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11515011106900 is an abundant number, since it is smaller than the sum of its proper divisors (17042216439948).

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

11515011106900 is a wasteful number, since it uses less digits than its factorization.

11515011106900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16450015888 (or 16450015881 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 31.

The spelling of 11515011106900 in words is "eleven trillion, five hundred fifteen billion, eleven million, one hundred six thousand, nine hundred".