16783378920 has 384 divisors, whose sum is σ = 70202695680. Its totient is φ = 3374784000.

The previous prime is 16783378919. The next prime is 16783378961. The reversal of 16783378920 is 2987338761.

16783378920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849555 + ... + 869085.

It is an arithmetic number, because the mean of its divisors is an integer number (182819520).

Almost surely, 2^16783378920 is an apocalyptic number.

16783378920 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 16783378920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35101347840).

16783378920 is an abundant number, since it is smaller than the sum of its proper divisors (53419316760).

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

16783378920 is a wasteful number, since it uses less digits than its factorization.

16783378920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19597 (or 19590 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

It can be divided in two parts, 167833 and 78920, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 16783378920 in words is "sixteen billion, seven hundred eighty-three million, three hundred seventy-eight thousand, nine hundred twenty".