11053693624320 has 448 divisors, whose sum is σ = 40258315500480. Its totient is φ = 2875745894400.

The previous prime is 11053693624291. The next prime is 11053693624327. The reversal of 11053693624320 is 2342639635011.

11053693624320 is a `hidden beast` number, since 1 + 1 + 0 + 536 + 93 + 6 + 2 + 4 + 3 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11053693624327) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 45220830 + ... + 45464610.

It is an arithmetic number, because the mean of its divisors is an integer number (89862311385).

Almost surely, 2^{11053693624320} is an apocalyptic number.

11053693624320 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 11053693624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20129157750240).

11053693624320 is an abundant number, since it is smaller than the sum of its proper divisors (29204621876160).

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

11053693624320 is an equidigital number, since it uses as much as digits as its factorization.

11053693624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243862 (or 243832 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 11053693624320 in words is "eleven trillion, fifty-three billion, six hundred ninety-three million, six hundred twenty-four thousand, three hundred twenty".