11275120516720 has 160 divisors (see below), whose sum is σ = 27210883392000. Its totient is φ = 4341717488640.

The previous prime is 11275120516679. The next prime is 11275120516747. The reversal of 11275120516720 is 2761502157211.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 31 ways as a sum of consecutive naturals, for example, 1073918031 + ... + 1073928529.

It is an arithmetic number, because the mean of its divisors is an integer number (170068021200).

Almost surely, 2^{11275120516720} is an apocalyptic number.

11275120516720 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 11275120516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13605441696000).

11275120516720 is an abundant number, since it is smaller than the sum of its proper divisors (15935762875280).

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

11275120516720 is a wasteful number, since it uses less digits than its factorization.

11275120516720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15023 (or 15017 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 11275120516720 in words is "eleven trillion, two hundred seventy-five billion, one hundred twenty million, five hundred sixteen thousand, seven hundred twenty".