16213666400 has 144 divisors (see below), whose sum is σ = 41077745856. Its totient is φ = 6244024320.

The previous prime is 16213666379. The next prime is 16213666409. The reversal of 16213666400 is 466631261.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16213666409) 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, 2868377 + ... + 2874023.

It is an arithmetic number, because the mean of its divisors is an integer number (285262124).

Almost surely, 2^16213666400 is an apocalyptic number.

16213666400 is a gapful number since it is divisible by the number (10) 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 16213666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20538872928).

16213666400 is an abundant number, since it is smaller than the sum of its proper divisors (24864079456).

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

16213666400 is a wasteful number, since it uses less digits than its factorization.

16213666400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5788 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 16213666400 in words is "sixteen billion, two hundred thirteen million, six hundred sixty-six thousand, four hundred".