11284392604320 has 288 divisors, whose sum is σ = 42125753255040. Its totient is φ = 2727988869120.

The previous prime is 11284392604291. The next prime is 11284392604333. The reversal of 11284392604320 is 2340629348211.

11284392604320 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 4 + 3 + 9 + 2 + 604 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

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 47 ways as a sum of consecutive naturals, for example, 4694362 + ... + 6678758.

It is an arithmetic number, because the mean of its divisors is an integer number (146269976580).

Almost surely, 2^{11284392604320} is an apocalyptic number.

11284392604320 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 11284392604320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062876627520).

11284392604320 is an abundant number, since it is smaller than the sum of its proper divisors (30841360650720).

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

11284392604320 is a wasteful number, since it uses less digits than its factorization.

11284392604320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984788 (or 1984777 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 11284392604320 in words is "eleven trillion, two hundred eighty-four billion, three hundred ninety-two million, six hundred four thousand, three hundred twenty".