21679080192 has 972 divisors, whose sum is σ = 85690468920. Its totient is φ = 5386106880.

The previous prime is 21679080191. The next prime is 21679080211. The reversal of 21679080192 is 29108097612.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not an unprimeable number, because it can be changed into a prime (21679080191) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 942568693 + ... + 942568715.

Almost surely, 2^21679080192 is an apocalyptic number.

21679080192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21679080192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42845234460).

21679080192 is an abundant number, since it is smaller than the sum of its proper divisors (64011388728).

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

21679080192 is a wasteful number, since it uses less digits than its factorization.

21679080192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 21679080192 in words is "twenty-one billion, six hundred seventy-nine million, eighty thousand, one hundred ninety-two".