11382384293280 has 4320 divisors, whose sum is σ = 56829700642176. Its totient is φ = 2087352115200.

The previous prime is 11382384293263. The next prime is 11382384293309. The reversal of 11382384293280 is 8239248328311.

11382384293280 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 238 + 42 + 93 + 280 = 666.

11382384293280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 137137160119 + ... + 137137160201.

Almost surely, 2^{11382384293280} is an apocalyptic number.

11382384293280 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 11382384293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28414850321088).

11382384293280 is an abundant number, since it is smaller than the sum of its proper divisors (45447316348896).

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

11382384293280 is a wasteful number, since it uses less digits than its factorization.

11382384293280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 11382384293280 in words is "eleven trillion, three hundred eighty-two billion, three hundred eighty-four million, two hundred ninety-three thousand, two hundred eighty".