21130587386304 has 224 divisors, whose sum is σ = 61282705268736. Its totient is φ = 6372554542080.

The previous prime is 21130587386299. The next prime is 21130587386309. The reversal of 21130587386304 is 40368378503112.

It is an interprime number because it is at equal distance from previous prime (21130587386299) and next prime (21130587386309).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21130587386309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2593660759 + ... + 2593668905.

It is an arithmetic number, because the mean of its divisors is an integer number (273583505664).

Almost surely, 2^{21130587386304} is an apocalyptic number.

21130587386304 is a gapful number since it is divisible by the number (24) 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 21130587386304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30641352634368).

21130587386304 is an abundant number, since it is smaller than the sum of its proper divisors (40152117882432).

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

21130587386304 is a wasteful number, since it uses less digits than its factorization.

21130587386304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13903 (or 13893 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 21130587386304 in words is "twenty-one trillion, one hundred thirty billion, five hundred eighty-seven million, three hundred eighty-six thousand, three hundred four".