21263999407200 has 432 divisors, whose sum is σ = 84828331014336. Its totient is φ = 5154908428800.

The previous prime is 21263999407171. The next prime is 21263999407213. The reversal of 21263999407200 is 270499936212.

21263999407200 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 399 + 9 + 40 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 2833542 + ... + 7110341.

It is an arithmetic number, because the mean of its divisors is an integer number (196361877348).

Almost surely, 2^{21263999407200} is an apocalyptic number.

21263999407200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21263999407200 is an abundant number, since it is smaller than the sum of its proper divisors (63564331607136).

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

21263999407200 is a wasteful number, since it uses less digits than its factorization.

21263999407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9943929 (or 9943904 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 21263999407200 in words is "twenty-one trillion, two hundred sixty-three billion, nine hundred ninety-nine million, four hundred seven thousand, two hundred".