11148073528320 has 352 divisors, whose sum is σ = 39870663576000. Its totient is φ = 2953878700032.

The previous prime is 11148073528301. The next prime is 11148073528409. The reversal of 11148073528320 is 2382537084111.

11148073528320 is a `hidden beast` number, since 1 + 1 + 1 + 480 + 73 + 5 + 2 + 83 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 21446856 + ... + 21960504.

Almost surely, 2^{11148073528320} is an apocalyptic number.

11148073528320 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 11148073528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19935331788000).

11148073528320 is an abundant number, since it is smaller than the sum of its proper divisors (28722590047680).

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

11148073528320 is a wasteful number, since it uses less digits than its factorization.

11148073528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513840 (or 513816 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11148073528320 in words is "eleven trillion, one hundred forty-eight billion, seventy-three million, five hundred twenty-eight thousand, three hundred twenty".