21283783718400 has 1440 divisors, whose sum is σ = 91004931883008. Its totient is φ = 4644642816000.

The previous prime is 21283783718381. The next prime is 21283783718411. The reversal of 21283783718400 is 481738738212.

21283783718400 is a `hidden beast` number, since 2 + 12 + 83 + 7 + 83 + 71 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 18491557825 + ... + 18491558975.

Almost surely, 2^{21283783718400} is an apocalyptic number.

21283783718400 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 21283783718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45502465941504).

21283783718400 is an abundant number, since it is smaller than the sum of its proper divisors (69721148164608).

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

21283783718400 is a wasteful number, since it uses less digits than its factorization.

21283783718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 21283783718400 in words is "twenty-one trillion, two hundred eighty-three billion, seven hundred eighty-three million, seven hundred eighteen thousand, four hundred".