21167555742405 has 16 divisors (see below), whose sum is σ = 37631210208960. Its totient is φ = 11289363062544.

The previous prime is 21167555742373. The next prime is 21167555742407. The reversal of 21167555742405 is 50424755576112.

21167555742405 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 7 + 5 + 557 + 42 + 40 + 5 = 666.

It is not a de Polignac number, because 21167555742405 - 2⁵ = 21167555742373 is a prime.

It is a super-2 number, since 2×21167555742405² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21167555742407) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 78398354467 + ... + 78398354736.

It is an arithmetic number, because the mean of its divisors is an integer number (2351950638060).

Almost surely, 2^{21167555742405} is an apocalyptic number.

It is an amenable number.

21167555742405 is a deficient number, since it is larger than the sum of its proper divisors (16463654466555).

21167555742405 is a wasteful number, since it uses less digits than its factorization.

21167555742405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156796709217 (or 156796709211 counting only the distinct ones).

The product of its (nonzero) digits is 11760000, while the sum is 54.

The spelling of 21167555742405 in words is "twenty-one trillion, one hundred sixty-seven billion, five hundred fifty-five million, seven hundred forty-two thousand, four hundred five".