21350841887232 has 2880 divisors, whose sum is σ = 80543026916352. Its totient is φ = 5382733824000.

The previous prime is 21350841887213. The next prime is 21350841887237. The reversal of 21350841887232 is 23278814805312.

21350841887232 is a `hidden beast` number, since 2 + 1 + 350 + 84 + 188 + 7 + 2 + 32 = 666.

It is a super-2 number, since 2×21350841887232² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21350841887237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 402846073318 + ... + 402846073370.

Almost surely, 2^{21350841887232} is an apocalyptic number.

21350841887232 is a gapful number since it is divisible by the number (22) 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 21350841887232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40271513458176).

21350841887232 is an abundant number, since it is smaller than the sum of its proper divisors (59192185029120).

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

21350841887232 is a wasteful number, since it uses less digits than its factorization.

21350841887232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 21350841887232 in words is "twenty-one trillion, three hundred fifty billion, eight hundred forty-one million, eight hundred eighty-seven thousand, two hundred thirty-two".