21472856400 has 240 divisors, whose sum is σ = 72988703424. Its totient is φ = 5377597440.

The previous prime is 21472856393. The next prime is 21472856453. The reversal of 21472856400 is 465827412.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×21472856400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13116382 + ... + 13118018.

Almost surely, 2^21472856400 is an apocalyptic number.

21472856400 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 21472856400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36494351712).

21472856400 is an abundant number, since it is smaller than the sum of its proper divisors (51515847024).

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

21472856400 is a wasteful number, since it uses less digits than its factorization.

21472856400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2318 (or 2307 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 21472856400 in words is "twenty-one billion, four hundred seventy-two million, eight hundred fifty-six thousand, four hundred".