21319848000 has 672 divisors, whose sum is σ = 86365738368. Its totient is φ = 5163264000.

The previous prime is 21319847993. The next prime is 21319848007. The reversal of 21319848000 is 84891312.

It is an interprime number because it is at equal distance from previous prime (21319847993) and next prime (21319848007).

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

It is not an unprimeable number, because it can be changed into a prime (21319848007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21383502 + ... + 21384498.

It is an arithmetic number, because the mean of its divisors is an integer number (128520444).

Almost surely, 2^21319848000 is an apocalyptic number.

21319848000 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 21319848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43182869184).

21319848000 is an abundant number, since it is smaller than the sum of its proper divisors (65045890368).

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

21319848000 is an equidigital number, since it uses as much as digits as its factorization.

21319848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 21319848000 in words is "twenty-one billion, three hundred nineteen million, eight hundred forty-eight thousand".