11375493120 has 480 divisors, whose sum is σ = 41836905600. Its totient is φ = 2930245632.

The previous prime is 11375493119. The next prime is 11375493167. The reversal of 11375493120 is 2139457311.

11375493120 is a `hidden beast` number, since 11 + 37 + 5 + 493 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81838011 + ... + 81838149.

It is an arithmetic number, because the mean of its divisors is an integer number (87160220).

Almost surely, 2^11375493120 is an apocalyptic number.

11375493120 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 11375493120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20918452800).

11375493120 is an abundant number, since it is smaller than the sum of its proper divisors (30461412480).

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

11375493120 is an equidigital number, since it uses as much as digits as its factorization.

11375493120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 11375493120 in words is "eleven billion, three hundred seventy-five million, four hundred ninety-three thousand, one hundred twenty".