21472968400 has 180 divisors, whose sum is σ = 57420514956. Its totient is φ = 7670937600.

The previous prime is 21472968317. The next prime is 21472968401. The reversal of 21472968400 is 486927412.

It can be written as a sum of positive squares in 6 ways, for example, as 2116368016 + 19356600384 = 46004^2 + 139128^2 .

It is a super-2 number, since 2×21472968400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21472968401) 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 35 ways as a sum of consecutive naturals, for example, 4995052 + ... + 4999348.

Almost surely, 2^21472968400 is an apocalyptic number.

21472968400 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 21472968400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28710257478).

21472968400 is an abundant number, since it is smaller than the sum of its proper divisors (35947546556).

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

21472968400 is a wasteful number, since it uses less digits than its factorization.

21472968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4348 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 21472968400 in words is "twenty-one billion, four hundred seventy-two million, nine hundred sixty-eight thousand, four hundred".