11864904468480 has 2016 divisors, whose sum is σ = 50208126696000. Its totient is φ = 2681795837952.

The previous prime is 11864904468437. The next prime is 11864904468497. The reversal of 11864904468480 is 8486440946811.

11864904468480 is a `hidden beast` number, since 1 + 1 + 8 + 6 + 4 + 90 + 4 + 4 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 59622635421 + ... + 59622635619.

It is an arithmetic number, because the mean of its divisors is an integer number (24904824750).

Almost surely, 2^{11864904468480} is an apocalyptic number.

11864904468480 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 11864904468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25104063348000).

11864904468480 is an abundant number, since it is smaller than the sum of its proper divisors (38343222227520).

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

11864904468480 is an equidigital number, since it uses as much as digits as its factorization.

11864904468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 11864904468480 in words is "eleven trillion, eight hundred sixty-four billion, nine hundred four million, four hundred sixty-eight thousand, four hundred eighty".