21720848058000 has 2240 divisors, whose sum is σ = 100062846234624. Its totient is φ = 4434186240000.

The previous prime is 21720848057999. The next prime is 21720848058001. The reversal of 21720848058000 is 85084802712.

It is a happy number.

21720848058000 is a `hidden beast` number, since 2 + 1 + 7 + 20 + 8 + 48 + 0 + 580 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21720848057999) and next prime (21720848058001).

It is a super-3 number, since 3×21720848058000³ (a number of 41 digits) contains 333 as substring.

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 (21720848058001) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 4113015360 + ... + 4113020640.

Almost surely, 2^{21720848058000} is an apocalyptic number.

21720848058000 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 21720848058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50031423117312).

21720848058000 is an abundant number, since it is smaller than the sum of its proper divisors (78341998176624).

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

21720848058000 is a wasteful number, since it uses less digits than its factorization.

21720848058000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5373 (or 5342 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 21720848058000 in words is "twenty-one trillion, seven hundred twenty billion, eight hundred forty-eight million, fifty-eight thousand".