16810260480 has 480 divisors, whose sum is σ = 64929664800. Its totient is φ = 4135256064.

The previous prime is 16810260463. The next prime is 16810260541. The reversal of 16810260480 is 8406201861.

16810260480 is a `hidden beast` number, since 16 + 8 + 102 + 60 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10781941 + ... + 10783499.

It is an arithmetic number, because the mean of its divisors is an integer number (135270135).

Almost surely, 2^16810260480 is an apocalyptic number.

16810260480 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 16810260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32464832400).

16810260480 is an abundant number, since it is smaller than the sum of its proper divisors (48119404320).

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

16810260480 is a wasteful number, since it uses less digits than its factorization.

16810260480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16810260480 in words is "sixteen billion, eight hundred ten million, two hundred sixty thousand, four hundred eighty".