16955251040 has 192 divisors, whose sum is σ = 49543280640. Its totient is φ = 5339658240.

The previous prime is 16955251031. The next prime is 16955251057. The reversal of 16955251040 is 4015255961.

16955251040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16955250985 and 16955251003.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3069401 + ... + 3074919.

It is an arithmetic number, because the mean of its divisors is an integer number (258037920).

Almost surely, 2^16955251040 is an apocalyptic number.

16955251040 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 16955251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24771640320).

16955251040 is an abundant number, since it is smaller than the sum of its proper divisors (32588029600).

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

16955251040 is a wasteful number, since it uses less digits than its factorization.

16955251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765 (or 5757 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 38.

The spelling of 16955251040 in words is "sixteen billion, nine hundred fifty-five million, two hundred fifty-one thousand, forty".