21063685910400 has 1536 divisors, whose sum is σ = 91071063936000. Its totient is φ = 4654883635200.

The previous prime is 21063685910363. The next prime is 21063685910413. The reversal of 21063685910400 is 401958636012.

21063685910400 is a `hidden beast` number, since 2 + 1 + 0 + 636 + 8 + 5 + 9 + 1 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2176670362 + ... + 2176680038.

It is an arithmetic number, because the mean of its divisors is an integer number (59291057250).

Almost surely, 2^{21063685910400} is an apocalyptic number.

21063685910400 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 21063685910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535531968000).

21063685910400 is an abundant number, since it is smaller than the sum of its proper divisors (70007378025600).

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

21063685910400 is a wasteful number, since it uses less digits than its factorization.

21063685910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9814 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 21063685910400 in words is "twenty-one trillion, sixty-three billion, six hundred eighty-five million, nine hundred ten thousand, four hundred".