11604673301760 has 4608 divisors, whose sum is σ = 59812842700800. Its totient is φ = 2053082972160.

The previous prime is 11604673301747. The next prime is 11604673301821. The reversal of 11604673301760 is 6710337640611.

11604673301760 is a `hidden beast` number, since 1 + 1 + 604 + 6 + 7 + 3 + 30 + 1 + 7 + 6 + 0 = 666.

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

It is a congruent number.

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 511 ways as a sum of consecutive naturals, for example, 19769460187 + ... + 19769460773.

It is an arithmetic number, because the mean of its divisors is an integer number (12980217600).

Almost surely, 2^{11604673301760} is an apocalyptic number.

11604673301760 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 11604673301760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29906421350400).

11604673301760 is an abundant number, since it is smaller than the sum of its proper divisors (48208169399040).

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

11604673301760 is a wasteful number, since it uses less digits than its factorization.

11604673301760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 11604673301760 in words is "eleven trillion, six hundred four billion, six hundred seventy-three million, three hundred one thousand, seven hundred sixty".