21472429363200 has 1248 divisors, whose sum is σ = 81505797084800. Its totient is φ = 5538164244480.

The previous prime is 21472429363183. The next prime is 21472429363207. The reversal of 21472429363200 is 236392427412.

21472429363200 is a `hidden beast` number, since 2 + 1 + 4 + 7 + 2 + 4 + 2 + 9 + 3 + 632 + 0 + 0 = 666.

It is a super-2 number, since 2×21472429363200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21472429363207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12958616772 + ... + 12958618428.

Almost surely, 2^{21472429363200} is an apocalyptic number.

21472429363200 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 21472429363200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40752898542400).

21472429363200 is an abundant number, since it is smaller than the sum of its proper divisors (60033367721600).

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

21472429363200 is a wasteful number, since it uses less digits than its factorization.

21472429363200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 21472429363200 in words is "twenty-one trillion, four hundred seventy-two billion, four hundred twenty-nine million, three hundred sixty-three thousand, two hundred".