21278095607808 has 2304 divisors, whose sum is σ = 76928237568000. Its totient is φ = 5815072456704.

The previous prime is 21278095607767. The next prime is 21278095607819. The reversal of 21278095607808 is 80870659087212.

21278095607808 is a `hidden beast` number, since 2 + 12 + 7 + 8 + 0 + 9 + 5 + 607 + 8 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 167544059841 + ... + 167544059967.

It is an arithmetic number, because the mean of its divisors is an integer number (33388992000).

Almost surely, 2^{21278095607808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21278095607808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38464118784000).

21278095607808 is an abundant number, since it is smaller than the sum of its proper divisors (55650141960192).

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

21278095607808 is a wasteful number, since it uses less digits than its factorization.

21278095607808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 63.

The spelling of 21278095607808 in words is "twenty-one trillion, two hundred seventy-eight billion, ninety-five million, six hundred seven thousand, eight hundred eight".