21320373657600 has 1848 divisors, whose sum is σ = 83130127503192. Its totient is φ = 5417769369600.

The previous prime is 21320373657599. The next prime is 21320373657607. The reversal of 21320373657600 is 675637302312.

21320373657600 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 0 + 3 + 7 + 36 + 5 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21320373657607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 495822643179 + ... + 495822643221.

It is an arithmetic number, because the mean of its divisors is an integer number (44983835229).

Almost surely, 2^{21320373657600} is an apocalyptic number.

21320373657600 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 21320373657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41565063751596).

21320373657600 is an abundant number, since it is smaller than the sum of its proper divisors (61809753845592).

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

21320373657600 is an frugal number, since it uses more digits than its factorization.

21320373657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 21320373657600 in words is "twenty-one trillion, three hundred twenty billion, three hundred seventy-three million, six hundred fifty-seven thousand, six hundred".