21324659400 has 576 divisors, whose sum is σ = 81967878720. Its totient is φ = 5109350400.

The previous prime is 21324659387. The next prime is 21324659401. The reversal of 21324659400 is 495642312.

It is a happy number.

21324659400 is a `hidden beast` number, since 2 + 1 + 3 + 246 + 5 + 9 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21324659401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60409624 + ... + 60409976.

It is an arithmetic number, because the mean of its divisors is an integer number (142305345).

Almost surely, 2^21324659400 is an apocalyptic number.

21324659400 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 21324659400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40983939360).

21324659400 is an abundant number, since it is smaller than the sum of its proper divisors (60643219320).

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

21324659400 is a wasteful number, since it uses less digits than its factorization.

21324659400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 21324659400 in words is "twenty-one billion, three hundred twenty-four million, six hundred fifty-nine thousand, four hundred".