16778560890 has 192 divisors, whose sum is σ = 53414774784. Its totient is φ = 3331786752.

The previous prime is 16778560871. The next prime is 16778560921. The reversal of 16778560890 is 9806587761.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 16778560890.

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, 299047 + ... + 350693.

It is an arithmetic number, because the mean of its divisors is an integer number (278201952).

Almost surely, 2^16778560890 is an apocalyptic number.

16778560890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16778560890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26707387392).

16778560890 is an abundant number, since it is smaller than the sum of its proper divisors (36636213894).

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

16778560890 is a wasteful number, since it uses less digits than its factorization.

16778560890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51701 (or 51694 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 16778560890 in words is "sixteen billion, seven hundred seventy-eight million, five hundred sixty thousand, eight hundred ninety".