21271282618432 has 224 divisors, whose sum is σ = 53280330888960. Its totient is φ = 8184644075520.

The previous prime is 21271282618423. The next prime is 21271282618451. The reversal of 21271282618432 is 23481628217212.

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

It is a super-2 number, since 2×21271282618432² (a number of 27 digits) contains 22 as substring.

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, 374090548 + ... + 374147404.

It is an arithmetic number, because the mean of its divisors is an integer number (237858620040).

Almost surely, 2^{21271282618432} is an apocalyptic number.

21271282618432 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 21271282618432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26640165444480).

21271282618432 is an abundant number, since it is smaller than the sum of its proper divisors (32009048270528).

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

21271282618432 is a wasteful number, since it uses less digits than its factorization.

21271282618432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57829 (or 57819 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 49.

The spelling of 21271282618432 in words is "twenty-one trillion, two hundred seventy-one billion, two hundred eighty-two million, six hundred eighteen thousand, four hundred thirty-two".