11628744657120 has 1536 divisors, whose sum is σ = 46084482662400. Its totient is φ = 2721425817600.

The previous prime is 11628744657109. The next prime is 11628744657151. The reversal of 11628744657120 is 2175644782611.

It is a happy number.

11628744657120 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 7 + 4 + 46 + 571 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 37391461765 + ... + 37391462075.

It is an arithmetic number, because the mean of its divisors is an integer number (30002918400).

Almost surely, 2^{11628744657120} is an apocalyptic number.

11628744657120 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 11628744657120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23042241331200).

11628744657120 is an abundant number, since it is smaller than the sum of its proper divisors (34455738005280).

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

11628744657120 is a wasteful number, since it uses less digits than its factorization.

11628744657120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 11628744657120 in words is "eleven trillion, six hundred twenty-eight billion, seven hundred forty-four million, six hundred fifty-seven thousand, one hundred twenty".