21079141920 has 288 divisors, whose sum is σ = 77007490560. Its totient is φ = 5439467520.

The previous prime is 21079141903. The next prime is 21079141921. The reversal of 21079141920 is 2914197012.

21079141920 is a `hidden beast` number, since 210 + 7 + 9 + 1 + 419 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (21079141921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1196536 + ... + 1214024.

It is an arithmetic number, because the mean of its divisors is an integer number (267387120).

Almost surely, 2^21079141920 is an apocalyptic number.

21079141920 is a gapful number since it is divisible by the number (20) 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 21079141920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38503745280).

21079141920 is an abundant number, since it is smaller than the sum of its proper divisors (55928348640).

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

21079141920 is a wasteful number, since it uses less digits than its factorization.

21079141920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17550 (or 17530 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 21079141920 in words is "twenty-one billion, seventy-nine million, one hundred forty-one thousand, nine hundred twenty".