21348001152 has 384 divisors, whose sum is σ = 67084992000. Its totient is φ = 6494515200.

The previous prime is 21348001127. The next prime is 21348001187. The reversal of 21348001152 is 25110084312.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78774777 + ... + 78775047.

It is an arithmetic number, because the mean of its divisors is an integer number (174700500).

Almost surely, 2^21348001152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21348001152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33542496000).

21348001152 is an abundant number, since it is smaller than the sum of its proper divisors (45736990848).

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

21348001152 is a wasteful number, since it uses less digits than its factorization.

21348001152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 21348001152 its reverse (25110084312), we get a palindrome (46458085464).

The spelling of 21348001152 in words is "twenty-one billion, three hundred forty-eight million, one thousand, one hundred fifty-two".