21413683200 has 672 divisors, whose sum is σ = 87370407936. Its totient is φ = 4506255360.

The previous prime is 21413683153. The next prime is 21413683231. The reversal of 21413683200 is 238631412.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55910209 + ... + 55910591.

It is an arithmetic number, because the mean of its divisors is an integer number (130015488).

Almost surely, 2^21413683200 is an apocalyptic number.

21413683200 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 21413683200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43685203968).

21413683200 is an abundant number, since it is smaller than the sum of its proper divisors (65956724736).

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

21413683200 is a wasteful number, since it uses less digits than its factorization.

21413683200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 21413683200 in words is "twenty-one billion, four hundred thirteen million, six hundred eighty-three thousand, two hundred".