21667167016 has 96 divisors (see below), whose sum is σ = 45934348320. Its totient is φ = 9570154880.

The previous prime is 21667167007. The next prime is 21667167019. The reversal of 21667167016 is 61076176612.

It is a super-2 number, since 2×21667167016² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21667167019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5487555 + ... + 5491501.

It is an arithmetic number, because the mean of its divisors is an integer number (478482795).

Almost surely, 2^21667167016 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 21667167016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22967174160).

21667167016 is an abundant number, since it is smaller than the sum of its proper divisors (24267181304).

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

21667167016 is a wasteful number, since it uses less digits than its factorization.

21667167016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4135 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 21667167016 in words is "twenty-one billion, six hundred sixty-seven million, one hundred sixty-seven thousand, sixteen".