16730211126720 has 1792 divisors, whose sum is σ = 68442883891200. Its totient is φ = 3369074688000.

The previous prime is 16730211126719. The next prime is 16730211126763. The reversal of 16730211126720 is 2762111203761.

16730211126720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 37261049056 + ... + 37261049504.

It is an arithmetic number, because the mean of its divisors is an integer number (38193573600).

Almost surely, 2^{16730211126720} is an apocalyptic number.

16730211126720 is a gapful number since it is divisible by the number (10) 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 16730211126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34221441945600).

16730211126720 is an abundant number, since it is smaller than the sum of its proper divisors (51712672764480).

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

16730211126720 is a wasteful number, since it uses less digits than its factorization.

16730211126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 16730211126720 in words is "sixteen trillion, seven hundred thirty billion, two hundred eleven million, one hundred twenty-six thousand, seven hundred twenty".