21313173600 has 360 divisors, whose sum is σ = 79542955800. Its totient is φ = 5550612480.

The previous prime is 21313173593. The next prime is 21313173631. The reversal of 21313173600 is 637131312.

21313173600 is a `hidden beast` number, since 21 + 3 + 1 + 31 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2782576 + ... + 2790224.

It is an arithmetic number, because the mean of its divisors is an integer number (220952655).

Almost surely, 2^21313173600 is an apocalyptic number.

21313173600 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 21313173600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39771477900).

21313173600 is an abundant number, since it is smaller than the sum of its proper divisors (58229782200).

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

21313173600 is a wasteful number, since it uses less digits than its factorization.

21313173600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 21313173600 in words is "twenty-one billion, three hundred thirteen million, one hundred seventy-three thousand, six hundred".