11628645120 has 360 divisors, whose sum is σ = 42336922320. Its totient is φ = 3046809600.

The previous prime is 11628645109. The next prime is 11628645137. The reversal of 11628645120 is 2154682611.

It is a happy number.

11628645120 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6116170 + ... + 6118070.

It is an arithmetic number, because the mean of its divisors is an integer number (117602562).

Almost surely, 2^11628645120 is an apocalyptic number.

11628645120 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 11628645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168461160).

11628645120 is an abundant number, since it is smaller than the sum of its proper divisors (30708277200).

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

11628645120 is an equidigital number, since it uses as much as digits as its factorization.

11628645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1993 (or 1970 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11628645120 in words is "eleven billion, six hundred twenty-eight million, six hundred forty-five thousand, one hundred twenty".