21713753542080 has 448 divisors, whose sum is σ = 73911931066368. Its totient is φ = 5386771906560.

The previous prime is 21713753542073. The next prime is 21713753542093. The reversal of 21713753542080 is 8024535731712.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3587268334 + ... + 3587274386.

Almost surely, 2^{21713753542080} is an apocalyptic number.

21713753542080 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 21713753542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36955965533184).

21713753542080 is an abundant number, since it is smaller than the sum of its proper divisors (52198177524288).

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

21713753542080 is a wasteful number, since it uses less digits than its factorization.

21713753542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 21713753542080 in words is "twenty-one trillion, seven hundred thirteen billion, seven hundred fifty-three million, five hundred forty-two thousand, eighty".