21275554014 has 384 divisors, whose sum is σ = 59576186880. Its totient is φ = 5544288000.

The previous prime is 21275553989. The next prime is 21275554039. The reversal of 21275554014 is 41045557212.

21275554014 is a `hidden beast` number, since 21 + 2 + 75 + 554 + 0 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (21275553989) and next prime (21275554039).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21275554014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 348779544 + ... + 348779604.

It is an arithmetic number, because the mean of its divisors is an integer number (155146320).

Almost surely, 2^21275554014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21275554014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29788093440).

21275554014 is an abundant number, since it is smaller than the sum of its proper divisors (38300632866).

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

21275554014 is a wasteful number, since it uses less digits than its factorization.

21275554014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 21275554014 in words is "twenty-one billion, two hundred seventy-five million, five hundred fifty-four thousand, fourteen".