21375855414 has 96 divisors (see below), whose sum is σ = 49819670784. Its totient is φ = 6606515520.

The previous prime is 21375855379. The next prime is 21375855419. The reversal of 21375855414 is 41455857312.

21375855414 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 585 + 54 + 14 = 666.

It is a super-2 number, since 2×21375855414² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21375855414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21375855419) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 4332529 + ... + 4337459.

It is an arithmetic number, because the mean of its divisors is an integer number (518954904).

Almost surely, 2^21375855414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21375855414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909835392).

21375855414 is an abundant number, since it is smaller than the sum of its proper divisors (28443815370).

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

21375855414 is a wasteful number, since it uses less digits than its factorization.

21375855414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5282 (or 5279 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The spelling of 21375855414 in words is "twenty-one billion, three hundred seventy-five million, eight hundred fifty-five thousand, four hundred fourteen".