16935681840 has 480 divisors, whose sum is σ = 67418542080. Its totient is φ = 3477196800.

The previous prime is 16935681823. The next prime is 16935681859. The reversal of 16935681840 is 4818653961.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11512305 + ... + 11513775.

It is an arithmetic number, because the mean of its divisors is an integer number (140455296).

Almost surely, 2^16935681840 is an apocalyptic number.

16935681840 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 16935681840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33709271040).

16935681840 is an abundant number, since it is smaller than the sum of its proper divisors (50482860240).

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

16935681840 is a wasteful number, since it uses less digits than its factorization.

16935681840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 16935681840 in words is "sixteen billion, nine hundred thirty-five million, six hundred eighty-one thousand, eight hundred forty".