21378714063120 has 800 divisors, whose sum is σ = 79093363700736. Its totient is φ = 5342953881600.

The previous prime is 21378714063097. The next prime is 21378714063121. The reversal of 21378714063120 is 2136041787312.

21378714063120 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 8 + 7 + 1 + 4 + 0 + 631 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21378714063121) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 1128333487 + ... + 1128352433.

Almost surely, 2^{21378714063120} is an apocalyptic number.

21378714063120 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 21378714063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39546681850368).

21378714063120 is an abundant number, since it is smaller than the sum of its proper divisors (57714649637616).

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

21378714063120 is a wasteful number, since it uses less digits than its factorization.

21378714063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19181 (or 19166 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 21378714063120 in words is "twenty-one trillion, three hundred seventy-eight billion, seven hundred fourteen million, sixty-three thousand, one hundred twenty".