21360650400 has 288 divisors, whose sum is σ = 77854392000. Its totient is φ = 5651942400.

The previous prime is 21360650387. The next prime is 21360650407. The reversal of 21360650400 is 405606312.

21360650400 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 0 + 650 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21360650400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21360650407) 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, 2825826 + ... + 2833374.

It is an arithmetic number, because the mean of its divisors is an integer number (270327750).

Almost surely, 2^21360650400 is an apocalyptic number.

21360650400 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 21360650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38927196000).

21360650400 is an abundant number, since it is smaller than the sum of its proper divisors (56493741600).

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

21360650400 is a wasteful number, since it uses less digits than its factorization.

21360650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7709 (or 7690 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 21360650400 in words is "twenty-one billion, three hundred sixty million, six hundred fifty thousand, four hundred".