16678035010560 has 2112 divisors, whose sum is σ = 69593225020416. Its totient is φ = 3369900441600.

The previous prime is 16678035010543. The next prime is 16678035010579. The reversal of 16678035010560 is 6501053087661.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 191 ways as a sum of consecutive naturals, for example, 59352437620 + ... + 59352437900.

Almost surely, 2^{16678035010560} is an apocalyptic number.

16678035010560 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 16678035010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796612510208).

16678035010560 is an abundant number, since it is smaller than the sum of its proper divisors (52915190009856).

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

16678035010560 is a wasteful number, since it uses less digits than its factorization.

16678035010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 16678035010560 in words is "sixteen trillion, six hundred seventy-eight billion, thirty-five million, ten thousand, five hundred sixty".