11628982572480 has 3136 divisors, whose sum is σ = 54159690203136. Its totient is φ = 2311151616000.

The previous prime is 11628982572463. The next prime is 11628982572539. The reversal of 11628982572480 is 8427528982611.

11628982572480 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 8 + 9 + 82 + 5 + 72 + 480 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 447 ways as a sum of consecutive naturals, for example, 26981397865 + ... + 26981398295.

It is an arithmetic number, because the mean of its divisors is an integer number (17270309376).

Almost surely, 2^{11628982572480} is an apocalyptic number.

11628982572480 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 11628982572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27079845101568).

11628982572480 is an abundant number, since it is smaller than the sum of its proper divisors (42530707630656).

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

11628982572480 is a wasteful number, since it uses less digits than its factorization.

11628982572480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 11628982572480 in words is "eleven trillion, six hundred twenty-eight billion, nine hundred eighty-two million, five hundred seventy-two thousand, four hundred eighty".