21384124212528 has 800 divisors, whose sum is σ = 82953673482240. Its totient is φ = 5150006853120.

The previous prime is 21384124212523. The next prime is 21384124212613. The reversal of 21384124212528 is 82521242148312.

21384124212528 is a `hidden beast` number, since 2 + 1 + 3 + 84 + 1 + 2 + 42 + 1 + 2 + 528 = 666.

It is a super-2 number, since 2×21384124212528² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21384124212523) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 88994275 + ... + 89234237.

Almost surely, 2^{21384124212528} is an apocalyptic number.

21384124212528 is a gapful number since it is divisible by the number (28) 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 21384124212528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41476836741120).

21384124212528 is an abundant number, since it is smaller than the sum of its proper divisors (61569549269712).

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

21384124212528 is a wasteful number, since it uses less digits than its factorization.

21384124212528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240067 (or 240052 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The spelling of 21384124212528 in words is "twenty-one trillion, three hundred eighty-four billion, one hundred twenty-four million, two hundred twelve thousand, five hundred twenty-eight".