21275016000 has 672 divisors, whose sum is σ = 83115302400. Its totient is φ = 4780339200.

The previous prime is 21275015963. The next prime is 21275016001. The reversal of 21275016000 is 61057212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21275016001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92903886 + ... + 92904114.

Almost surely, 2^21275016000 is an apocalyptic number.

21275016000 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 21275016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41557651200).

21275016000 is an abundant number, since it is smaller than the sum of its proper divisors (61840286400).

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

21275016000 is a wasteful number, since it uses less digits than its factorization.

21275016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The spelling of 21275016000 in words is "twenty-one billion, two hundred seventy-five million, sixteen thousand".