21276106800 has 240 divisors, whose sum is σ = 73981931520. Its totient is φ = 5195473920.

The previous prime is 21276106717. The next prime is 21276106889. The reversal of 21276106800 is 860167212.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×21276106800³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1975831 + ... + 1986569.

It is an arithmetic number, because the mean of its divisors is an integer number (308258048).

Almost surely, 2^21276106800 is an apocalyptic number.

21276106800 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 21276106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36990965760).

21276106800 is an abundant number, since it is smaller than the sum of its proper divisors (52705824720).

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

21276106800 is a wasteful number, since it uses less digits than its factorization.

21276106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The spelling of 21276106800 in words is "twenty-one billion, two hundred seventy-six million, one hundred six thousand, eight hundred".