21920600319 has 16 divisors (see below), whose sum is σ = 29412117504. Its totient is φ = 14521680000.

The previous prime is 21920600291. The next prime is 21920600323. The reversal of 21920600319 is 91300602912.

It is not a de Polignac number, because 21920600319 - 2⁹ = 21920599807 is a prime.

It is a super-2 number, since 2×21920600319² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21920600319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21920600399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292434 + ... + 359664.

It is an arithmetic number, because the mean of its divisors is an integer number (1838257344).

Almost surely, 2^21920600319 is an apocalyptic number.

21920600319 is a deficient number, since it is larger than the sum of its proper divisors (7491517185).

21920600319 is a wasteful number, since it uses less digits than its factorization.

21920600319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67918.

The product of its (nonzero) digits is 5832, while the sum is 33.

The spelling of 21920600319 in words is "twenty-one billion, nine hundred twenty million, six hundred thousand, three hundred nineteen".