16938270720 has 512 divisors, whose sum is σ = 68953305600. Its totient is φ = 3864526848.

The previous prime is 16938270707. The next prime is 16938270731. The reversal of 16938270720 is 2707283961.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30965487 + ... + 30966033.

It is an arithmetic number, because the mean of its divisors is an integer number (134674425).

Almost surely, 2^16938270720 is an apocalyptic number.

16938270720 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 16938270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34476652800).

16938270720 is an abundant number, since it is smaller than the sum of its proper divisors (52015034880).

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

16938270720 is an frugal number, since it uses more digits than its factorization.

16938270720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 16938270720 in words is "sixteen billion, nine hundred thirty-eight million, two hundred seventy thousand, seven hundred twenty".