11127949953120 has 6144 divisors, whose sum is σ = 60398095564800. Its totient is φ = 1834588569600.

The previous prime is 11127949953059. The next prime is 11127949953203. The reversal of 11127949953120 is 2135994972111.

11127949953120 is a `hidden beast` number, since 1 + 1 + 1 + 27 + 9 + 499 + 5 + 3 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 1023 ways as a sum of consecutive naturals, for example, 43299416032 + ... + 43299416288.

It is an arithmetic number, because the mean of its divisors is an integer number (9830419200).

Almost surely, 2^{11127949953120} is an apocalyptic number.

11127949953120 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 11127949953120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30199047782400).

11127949953120 is an abundant number, since it is smaller than the sum of its proper divisors (49270145611680).

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

11127949953120 is a wasteful number, since it uses less digits than its factorization.

11127949953120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 11127949953120 in words is "eleven trillion, one hundred twenty-seven billion, nine hundred forty-nine million, nine hundred fifty-three thousand, one hundred twenty".