16819164360 has 192 divisors, whose sum is σ = 55194048000. Its totient is φ = 4441720320.

The previous prime is 16819164347. The next prime is 16819164377. The reversal of 16819164360 is 6346191861.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23392081 + ... + 23392799.

It is an arithmetic number, because the mean of its divisors is an integer number (287469000).

Almost surely, 2^16819164360 is an apocalyptic number.

16819164360 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 16819164360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024000).

16819164360 is an abundant number, since it is smaller than the sum of its proper divisors (38374883640).

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

16819164360 is a wasteful number, since it uses less digits than its factorization.

16819164360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 16819164360 in words is "sixteen billion, eight hundred nineteen million, one hundred sixty-four thousand, three hundred sixty".