11730133356480 has 1008 divisors, whose sum is σ = 52431572007360. Its totient is φ = 2353366794240.

The previous prime is 11730133356439. The next prime is 11730133356547. The reversal of 11730133356480 is 8465333103711.

11730133356480 is a `hidden beast` number, since 1 + 1 + 7 + 3 + 0 + 1 + 3 + 3 + 3 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70658532 + ... + 70824348.

It is an arithmetic number, because the mean of its divisors is an integer number (52015448420).

Almost surely, 2^{11730133356480} is an apocalyptic number.

11730133356480 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 11730133356480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26215786003680).

11730133356480 is an abundant number, since it is smaller than the sum of its proper divisors (40701438650880).

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

11730133356480 is a wasteful number, since it uses less digits than its factorization.

11730133356480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165898 (or 165874 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 11730133356480 in words is "eleven trillion, seven hundred thirty billion, one hundred thirty-three million, three hundred fifty-six thousand, four hundred eighty".