16838809299360 has 768 divisors, whose sum is σ = 64064417356800. Its totient is φ = 4166582353920.

The previous prime is 16838809299349. The next prime is 16838809299407. The reversal of 16838809299360 is 6399290883861.

16838809299360 is a `hidden beast` number, since 1 + 68 + 38 + 8 + 0 + 92 + 99 + 360 = 666.

16838809299360 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 422333506 + ... + 422373374.

It is an arithmetic number, because the mean of its divisors is an integer number (83417210100).

Almost surely, 2^{16838809299360} is an apocalyptic number.

16838809299360 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 16838809299360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32032208678400).

16838809299360 is an abundant number, since it is smaller than the sum of its proper divisors (47225608057440).

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

16838809299360 is an equidigital number, since it uses as much as digits as its factorization.

16838809299360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39993 (or 39967 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 16838809299360 in words is "sixteen trillion, eight hundred thirty-eight billion, eight hundred nine million, two hundred ninety-nine thousand, three hundred sixty".