11127542606000 has 80 divisors (see below), whose sum is σ = 27086978599200. Its totient is φ = 4421144326400.

The previous prime is 11127542605981. The next prime is 11127542606029. The reversal of 11127542606000 is 60624572111.

It is a tau number, because it is divible by the number of its divisors (80).

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, 18372374 + ... + 18968373.

It is an arithmetic number, because the mean of its divisors is an integer number (338587232490).

Almost surely, 2^{11127542606000} is an apocalyptic number.

11127542606000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11127542606000 is an abundant number, since it is smaller than the sum of its proper divisors (15959435993200).

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

11127542606000 is a wasteful number, since it uses less digits than its factorization.

11127542606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37340919 (or 37340903 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The spelling of 11127542606000 in words is "eleven trillion, one hundred twenty-seven billion, five hundred forty-two million, six hundred six thousand".