11493753088680 has 320 divisors, whose sum is σ = 40534186492800. Its totient is φ = 2915539038720.

The previous prime is 11493753088673. The next prime is 11493753088723. The reversal of 11493753088680 is 8688035739411.

11493753088680 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 37 + 530 + 8 + 8 + 68 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 13062051 + ... + 13914189.

It is an arithmetic number, because the mean of its divisors is an integer number (126669332790).

Almost surely, 2^{11493753088680} is an apocalyptic number.

11493753088680 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 11493753088680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267093246400).

11493753088680 is an abundant number, since it is smaller than the sum of its proper divisors (29040433404120).

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

11493753088680 is a wasteful number, since it uses less digits than its factorization.

11493753088680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852366 (or 852353 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 11493753088680 in words is "eleven trillion, four hundred ninety-three billion, seven hundred fifty-three million, eighty-eight thousand, six hundred eighty".