21354312400 has 120 divisors (see below), whose sum is σ = 53217988920. Its totient is φ = 8224634880.

The previous prime is 21354312383. The next prime is 21354312403. The reversal of 21354312400 is 421345312.

It can be written as a sum of positive squares in 12 ways, for example, as 6134648976 + 15219663424 = 78324^2 + 123368^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21354312403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4602882 + ... + 4607518.

It is an arithmetic number, because the mean of its divisors is an integer number (443483241).

Almost surely, 2^21354312400 is an apocalyptic number.

21354312400 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 21354312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26608994460).

21354312400 is an abundant number, since it is smaller than the sum of its proper divisors (31863676520).

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

21354312400 is a wasteful number, since it uses less digits than its factorization.

21354312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 21354312400 its reverse (421345312), we get a palindrome (21775657712).

The spelling of 21354312400 in words is "twenty-one billion, three hundred fifty-four million, three hundred twelve thousand, four hundred".