21513555414 has 96 divisors (see below), whose sum is σ = 51100008960. Its totient is φ = 6501249216.

The previous prime is 21513555397. The next prime is 21513555439. The reversal of 21513555414 is 41455531512.

21513555414 is a `hidden beast` number, since 21 + 51 + 35 + 554 + 1 + 4 = 666.

It is a super-2 number, since 2×21513555414² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5751957 + ... + 5755695.

It is an arithmetic number, because the mean of its divisors is an integer number (532291760).

Almost surely, 2^21513555414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21513555414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25550004480).

21513555414 is an abundant number, since it is smaller than the sum of its proper divisors (29586453546).

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

21513555414 is a wasteful number, since it uses less digits than its factorization.

21513555414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 4191 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The spelling of 21513555414 in words is "twenty-one billion, five hundred thirteen million, five hundred fifty-five thousand, four hundred fourteen".