21075876000 has 288 divisors, whose sum is σ = 77572168128. Its totient is φ = 5619974400.

The previous prime is 21075875969. The next prime is 21075876013. The reversal of 21075876000 is 67857012.

21075876000 is a `hidden beast` number, since 2 + 10 + 7 + 587 + 60 + 0 + 0 = 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 961159 + ... + 982841.

It is an arithmetic number, because the mean of its divisors is an integer number (269347806).

Almost surely, 2^21075876000 is an apocalyptic number.

21075876000 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 21075876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38786084064).

21075876000 is an abundant number, since it is smaller than the sum of its proper divisors (56496292128).

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

21075876000 is an equidigital number, since it uses as much as digits as its factorization.

21075876000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21723 (or 21693 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 21075876000 in words is "twenty-one billion, seventy-five million, eight hundred seventy-six thousand".