21793724008317 has 64 divisors (see below), whose sum is σ = 33729619968000. Its totient is φ = 13892188564800.

The previous prime is 21793724008291. The next prime is 21793724008361. The reversal of 21793724008317 is 71380042739712.

21793724008317 is a `hidden beast` number, since 2 + 1 + 7 + 93 + 72 + 400 + 83 + 1 + 7 = 666.

It is not a de Polignac number, because 21793724008317 - 2¹⁴ = 21793723991933 is a prime.

It is a super-3 number, since 3×21793724008317³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21793724008717) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24675184 + ... + 25543142.

It is an arithmetic number, because the mean of its divisors is an integer number (527025312000).

Almost surely, 2^{21793724008317} is an apocalyptic number.

21793724008317 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21793724008317 is a deficient number, since it is larger than the sum of its proper divisors (11935895959683).

21793724008317 is a wasteful number, since it uses less digits than its factorization.

21793724008317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868359 (or 868353 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 21793724008317 in words is "twenty-one trillion, seven hundred ninety-three billion, seven hundred twenty-four million, eight thousand, three hundred seventeen".