11393057537928 has 384 divisors, whose sum is σ = 36931820140800. Its totient is φ = 3136183142400.

The previous prime is 11393057537903. The next prime is 11393057537929. The reversal of 11393057537928 is 82973575039311.

11393057537928 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 3 + 0 + 5 + 7 + 537 + 92 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (11393057537929) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32047326 + ... + 32400882.

It is an arithmetic number, because the mean of its divisors is an integer number (96176614950).

Almost surely, 2^{11393057537928} is an apocalyptic number.

11393057537928 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 11393057537928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18465910070400).

11393057537928 is an abundant number, since it is smaller than the sum of its proper divisors (25538762602872).

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

11393057537928 is a wasteful number, since it uses less digits than its factorization.

11393057537928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353693 (or 353686 counting only the distinct ones).

The product of its (nonzero) digits is 42865200, while the sum is 63.

The spelling of 11393057537928 in words is "eleven trillion, three hundred ninety-three billion, fifty-seven million, five hundred thirty-seven thousand, nine hundred twenty-eight".