11407653120 has 144 divisors (see below), whose sum is σ = 36501196032. Its totient is φ = 3036364800.

The previous prime is 11407653083. The next prime is 11407653199. The reversal of 11407653120 is 2135670411.

11407653120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 2305369 + ... + 2310311.

It is an arithmetic number, because the mean of its divisors is an integer number (253480528).

Almost surely, 2^11407653120 is an apocalyptic number.

11407653120 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 11407653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18250598016).

11407653120 is an abundant number, since it is smaller than the sum of its proper divisors (25093542912).

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

11407653120 is an equidigital number, since it uses as much as digits as its factorization.

11407653120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5568 (or 5554 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 11407653120 in words is "eleven billion, four hundred seven million, six hundred fifty-three thousand, one hundred twenty".