21200160963920 has 40 divisors (see below), whose sum is σ = 49310567392680. Its totient is φ = 8476590295040.

The previous prime is 21200160963857. The next prime is 21200160963997. The reversal of 21200160963920 is 2936906100212.

It can be written as a sum of positive squares in 4 ways, for example, as 116892874816 + 21083268089104 = 341896^2 + 4591652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×21200160963920² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54086165 + ... + 54476724.

It is an arithmetic number, because the mean of its divisors is an integer number (1232764184817).

Almost surely, 2^{21200160963920} is an apocalyptic number.

21200160963920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200160963920 is an abundant number, since it is smaller than the sum of its proper divisors (28110406428760).

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

21200160963920 is a wasteful number, since it uses less digits than its factorization.

21200160963920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108565343 (or 108565337 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 41.

The spelling of 21200160963920 in words is "twenty-one trillion, two hundred billion, one hundred sixty million, nine hundred sixty-three thousand, nine hundred twenty".