21348472320 has 320 divisors, whose sum is σ = 86666595840. Its totient is φ = 4879540224.

The previous prime is 21348472303. The next prime is 21348472337. The reversal of 21348472320 is 2327484312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21348472303) and next prime (21348472337).

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 461779 + ... + 505901.

It is an arithmetic number, because the mean of its divisors is an integer number (270833112).

Almost surely, 2^21348472320 is an apocalyptic number.

21348472320 is a gapful number since it is divisible by the number (20) 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 21348472320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43333297920).

21348472320 is an abundant number, since it is smaller than the sum of its proper divisors (65318123520).

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

21348472320 is an equidigital number, since it uses as much as digits as its factorization.

21348472320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44162 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 21348472320 in words is "twenty-one billion, three hundred forty-eight million, four hundred seventy-two thousand, three hundred twenty".