21162107260638 has 32 divisors (see below), whose sum is σ = 47797837900320. Its totient is φ = 6938395822080.

The previous prime is 21162107260627. The next prime is 21162107260643. The reversal of 21162107260638 is 83606270126112.

21162107260638 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 2 + 1 + 0 + 7 + 2 + 6 + 0 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21162107260593 and 21162107260602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3212216995 + ... + 3212223582.

It is an arithmetic number, because the mean of its divisors is an integer number (1493682434385).

Almost surely, 2^{21162107260638} is an apocalyptic number.

21162107260638 is an abundant number, since it is smaller than the sum of its proper divisors (26635730639682).

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

21162107260638 is a wasteful number, since it uses less digits than its factorization.

21162107260638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424440649 (or 6424440643 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 21162107260638 in words is "twenty-one trillion, one hundred sixty-two billion, one hundred seven million, two hundred sixty thousand, six hundred thirty-eight".