21166586000 has 160 divisors (see below), whose sum is σ = 58671744768. Its totient is φ = 7234867200.

The previous prime is 21166585997. The next prime is 21166586011. The reversal of 21166586000 is 68566112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4939859 + ... + 4944141.

Almost surely, 2^21166586000 is an apocalyptic number.

21166586000 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 21166586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29335872384).

21166586000 is an abundant number, since it is smaller than the sum of its proper divisors (37505158768).

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

21166586000 is a wasteful number, since it uses less digits than its factorization.

21166586000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4666 (or 4650 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The spelling of 21166586000 in words is "twenty-one billion, one hundred sixty-six million, five hundred eighty-six thousand".