11821807428480 has 192 divisors, whose sum is σ = 46653918760800. Its totient is φ = 2702127403008.

The previous prime is 11821807428467. The next prime is 11821807428481. The reversal of 11821807428480 is 8482470812811.

11821807428480 is a `hidden beast` number, since 1 + 1 + 8 + 218 + 0 + 74 + 284 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×11821807428480² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11821807428481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146559475 + ... + 146640114.

Almost surely, 2^{11821807428480} is an apocalyptic number.

11821807428480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11821807428480 is an abundant number, since it is smaller than the sum of its proper divisors (34832111332320).

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

11821807428480 is a wasteful number, since it uses less digits than its factorization.

11821807428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293199621 (or 293199606 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 11821807428480 in words is "eleven trillion, eight hundred twenty-one billion, eight hundred seven million, four hundred twenty-eight thousand, four hundred eighty".