16878274560 has 1344 divisors, whose sum is σ = 77342428800. Its totient is φ = 3439853568.

The previous prime is 16878274549. The next prime is 16878274561. The reversal of 16878274560 is 6547287861.

16878274560 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 8 + 2 + 74 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×16878274560³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16878274497 and 16878274506.

It is not an unprimeable number, because it can be changed into a prime (16878274561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 888330231 + ... + 888330249.

It is an arithmetic number, because the mean of its divisors is an integer number (57546450).

Almost surely, 2^16878274560 is an apocalyptic number.

16878274560 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 16878274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38671214400).

16878274560 is an abundant number, since it is smaller than the sum of its proper divisors (60464154240).

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

16878274560 is an equidigital number, since it uses as much as digits as its factorization.

16878274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 168782 and 74560, that added together give a palindrome (243342).

The spelling of 16878274560 in words is "sixteen billion, eight hundred seventy-eight million, two hundred seventy-four thousand, five hundred sixty".