21134805120 has 640 divisors, whose sum is σ = 88702447680. Its totient is φ = 4727808000.

The previous prime is 21134805089. The next prime is 21134805191. The reversal of 21134805120 is 2150843112.

21134805120 is a `hidden beast` number, since 2 + 113 + 480 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7411695 + ... + 7414545.

Almost surely, 2^21134805120 is an apocalyptic number.

21134805120 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 21134805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44351223840).

21134805120 is an abundant number, since it is smaller than the sum of its proper divisors (67567642560).

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

21134805120 is a wasteful number, since it uses less digits than its factorization.

21134805120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2906 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 21134805120 in words is "twenty-one billion, one hundred thirty-four million, eight hundred five thousand, one hundred twenty".