21054403405200 has 480 divisors, whose sum is σ = 73868799094272. Its totient is φ = 5083799040000.

The previous prime is 21054403405187. The next prime is 21054403405213. The reversal of 21054403405200 is 250430445012.

It is an interprime number because it is at equal distance from previous prime (21054403405187) and next prime (21054403405213).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 3704801559 + ... + 3704807241.

Almost surely, 2^{21054403405200} is an apocalyptic number.

21054403405200 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 21054403405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36934399547136).

21054403405200 is an abundant number, since it is smaller than the sum of its proper divisors (52814395689072).

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

21054403405200 is a wasteful number, since it uses less digits than its factorization.

21054403405200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6783 (or 6772 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 21054403405200 in words is "twenty-one trillion, fifty-four billion, four hundred three million, four hundred five thousand, two hundred".