21213874506384 has 720 divisors, whose sum is σ = 75929444537856. Its totient is φ = 5706999244800.

The previous prime is 21213874506323. The next prime is 21213874506469. The reversal of 21213874506384 is 48360547831212.

21213874506384 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 38 + 74 + 506 + 38 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21213874506384.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 218468724 + ... + 218565804.

Almost surely, 2^{21213874506384} is an apocalyptic number.

21213874506384 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 21213874506384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37964722268928).

21213874506384 is an abundant number, since it is smaller than the sum of its proper divisors (54715570031472).

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

21213874506384 is a wasteful number, since it uses less digits than its factorization.

21213874506384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97186 (or 97161 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 21213874506384 in words is "twenty-one trillion, two hundred thirteen billion, eight hundred seventy-four million, five hundred six thousand, three hundred eighty-four".