21167259456 has 112 divisors (see below), whose sum is σ = 64435939200. Its totient is φ = 6007142400.

The previous prime is 21167259427. The next prime is 21167259457. The reversal of 21167259456 is 65495276112.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21167259457) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 147406 + ... + 253106.

Almost surely, 2^21167259456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21167259456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32217969600).

21167259456 is an abundant number, since it is smaller than the sum of its proper divisors (43268679744).

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

21167259456 is a wasteful number, since it uses less digits than its factorization.

21167259456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105872 (or 105862 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The spelling of 21167259456 in words is "twenty-one billion, one hundred sixty-seven million, two hundred fifty-nine thousand, four hundred fifty-six".