11358830704320 has 504 divisors, whose sum is σ = 42983846549280. Its totient is φ = 2751121612800.

The previous prime is 11358830704303. The next prime is 11358830704381. The reversal of 11358830704320 is 2340703885311.

11358830704320 is a `hidden beast` number, since 1 + 1 + 3 + 588 + 3 + 0 + 7 + 0 + 43 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393419485 + ... + 393448355.

It is an arithmetic number, because the mean of its divisors is an integer number (85285409820).

Almost surely, 2^{11358830704320} is an apocalyptic number.

11358830704320 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 11358830704320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21491923274640).

11358830704320 is an abundant number, since it is smaller than the sum of its proper divisors (31625015844960).

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

11358830704320 is a wasteful number, since it uses less digits than its factorization.

11358830704320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30045 (or 30021 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 11358830704320 in words is "eleven trillion, three hundred fifty-eight billion, eight hundred thirty million, seven hundred four thousand, three hundred twenty".