21093718576320 has 1792 divisors, whose sum is σ = 86665807872000. Its totient is φ = 4849656053760.

The previous prime is 21093718576313. The next prime is 21093718576451. The reversal of 21093718576320 is 2367581739012.

21093718576320 is a `hidden beast` number, since 2 + 1 + 0 + 9 + 37 + 1 + 8 + 576 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8179028791 + ... + 8179031369.

It is an arithmetic number, because the mean of its divisors is an integer number (48362616000).

Almost surely, 2^{21093718576320} is an apocalyptic number.

21093718576320 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 21093718576320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43332903936000).

21093718576320 is an abundant number, since it is smaller than the sum of its proper divisors (65572089295680).

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

21093718576320 is a wasteful number, since it uses less digits than its factorization.

21093718576320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 21093718576320 in words is "twenty-one trillion, ninety-three billion, seven hundred eighteen million, five hundred seventy-six thousand, three hundred twenty".