16178778160320 has 448 divisors, whose sum is σ = 57461937684480. Its totient is φ = 3837115957248.

The previous prime is 16178778160309. The next prime is 16178778160343. The reversal of 16178778160320 is 2306187787161.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21880497 + ... + 22607823.

It is an arithmetic number, because the mean of its divisors is an integer number (128263253760).

Almost surely, 2^{16178778160320} is an apocalyptic number.

16178778160320 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 16178778160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28730968842240).

16178778160320 is an abundant number, since it is smaller than the sum of its proper divisors (41283159524160).

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

16178778160320 is a wasteful number, since it uses less digits than its factorization.

16178778160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727440 (or 727430 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 57.

The spelling of 16178778160320 in words is "sixteen trillion, one hundred seventy-eight billion, seven hundred seventy-eight million, one hundred sixty thousand, three hundred twenty".