21672668160 has 1188 divisors, whose sum is σ = 93266658576. Its totient is φ = 4638965760.

The previous prime is 21672668131. The next prime is 21672668221. The reversal of 21672668160 is 6186627612.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 942289909 + ... + 942289931.

Almost surely, 2^21672668160 is an apocalyptic number.

21672668160 is a gapful number since it is divisible by the number (20) 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 21672668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46633329288).

21672668160 is an abundant number, since it is smaller than the sum of its proper divisors (71593990416).

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

21672668160 is a wasteful number, since it uses less digits than its factorization.

21672668160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21672668160 in words is "twenty-one billion, six hundred seventy-two million, six hundred sixty-eight thousand, one hundred sixty".