11479467121920 has 2304 divisors, whose sum is σ = 49306036469760. Its totient is φ = 2505718333440.

The previous prime is 11479467121907. The next prime is 11479467121951. The reversal of 11479467121920 is 2912176497411.

11479467121920 is a `hidden beast` number, since 1 + 1 + 4 + 79 + 467 + 1 + 21 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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 255 ways as a sum of consecutive naturals, for example, 51477430929 + ... + 51477431151.

It is an arithmetic number, because the mean of its divisors is an integer number (21400189440).

Almost surely, 2^{11479467121920} is an apocalyptic number.

11479467121920 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 11479467121920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24653018234880).

11479467121920 is an abundant number, since it is smaller than the sum of its proper divisors (37826569347840).

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

11479467121920 is an frugal number, since it uses more digits than its factorization.

11479467121920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 11479467121920 in words is "eleven trillion, four hundred seventy-nine billion, four hundred sixty-seven million, one hundred twenty-one thousand, nine hundred twenty".