11646054120 has 64 divisors (see below), whose sum is σ = 35510941440. Its totient is φ = 3054700800.

The previous prime is 11646054107. The next prime is 11646054131. The reversal of 11646054120 is 2145064611.

11646054120 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, 788176 + ... + 802815.

It is an arithmetic number, because the mean of its divisors is an integer number (554858460).

Almost surely, 2^11646054120 is an apocalyptic number.

11646054120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11646054120 is an abundant number, since it is smaller than the sum of its proper divisors (23864887320).

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

11646054120 is a wasteful number, since it uses less digits than its factorization.

11646054120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1591066 (or 1591062 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 11646054120 in words is "eleven billion, six hundred forty-six million, fifty-four thousand, one hundred twenty".