21106421683680 has 96 divisors (see below), whose sum is σ = 67395984967584. Its totient is φ = 5551278022656.

The previous prime is 21106421683673. The next prime is 21106421683681. The reversal of 21106421683680 is 8638612460112.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21106421683681) 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, 301141069 + ... + 301211148.

It is an arithmetic number, because the mean of its divisors is an integer number (702041510079).

Almost surely, 2^{21106421683680} is an apocalyptic number.

21106421683680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21106421683680 is an abundant number, since it is smaller than the sum of its proper divisors (46289563283904).

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

21106421683680 is a wasteful number, since it uses less digits than its factorization.

21106421683680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602352308 (or 602352300 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 21106421683680 in words is "twenty-one trillion, one hundred six billion, four hundred twenty-one million, six hundred eighty-three thousand, six hundred eighty".