21177316421184 has 224 divisors, whose sum is σ = 70157470795776. Its totient is φ = 5476993044480.

The previous prime is 21177316421143. The next prime is 21177316421231. The reversal of 21177316421184 is 48112461377112.

21177316421184 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

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 31 ways as a sum of consecutive naturals, for example, 370749 + ... + 6518595.

It is an arithmetic number, because the mean of its divisors is an integer number (313202994624).

Almost surely, 2^{21177316421184} is an apocalyptic number.

21177316421184 is a gapful number since it is divisible by the number (24) 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 21177316421184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35078735397888).

21177316421184 is an abundant number, since it is smaller than the sum of its proper divisors (48980154374592).

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

21177316421184 is a wasteful number, since it uses less digits than its factorization.

21177316421184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6148113 (or 6148103 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

Adding to 21177316421184 its reverse (48112461377112), we get a palindrome (69289777798296).

The spelling of 21177316421184 in words is "twenty-one trillion, one hundred seventy-seven billion, three hundred sixteen million, four hundred twenty-one thousand, one hundred eighty-four".