11528620982208 has 448 divisors, whose sum is σ = 39211915276800. Its totient is φ = 3282651463680.

The previous prime is 11528620982189. The next prime is 11528620982233. The reversal of 11528620982208 is 80228902682511.

11528620982208 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 8 + 620 + 9 + 8 + 2 + 2 + 0 + 8 = 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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199992366 + ... + 200050002.

It is an arithmetic number, because the mean of its divisors is an integer number (87526596600).

Almost surely, 2^{11528620982208} is an apocalyptic number.

11528620982208 is a gapful number since it is divisible by the number (18) 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 11528620982208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605957638400).

11528620982208 is an abundant number, since it is smaller than the sum of its proper divisors (27683294294592).

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

11528620982208 is a wasteful number, since it uses less digits than its factorization.

11528620982208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58305 (or 58289 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 11528620982208 in words is "eleven trillion, five hundred twenty-eight billion, six hundred twenty million, nine hundred eighty-two thousand, two hundred eight".