21436164600 has 192 divisors, whose sum is σ = 68408344800. Its totient is φ = 5548769280.

The previous prime is 21436164599. The next prime is 21436164601. The reversal of 21436164600 is 646163412.

It is an interprime number because it is at equal distance from previous prime (21436164599) and next prime (21436164601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21436164601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12630952 + ... + 12632648.

Almost surely, 2^21436164600 is an apocalyptic number.

21436164600 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 21436164600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34204172400).

21436164600 is an abundant number, since it is smaller than the sum of its proper divisors (46972180200).

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

21436164600 is a wasteful number, since it uses less digits than its factorization.

21436164600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 21436164600 in words is "twenty-one billion, four hundred thirty-six million, one hundred sixty-four thousand, six hundred".