16775890560 has 1280 divisors, whose sum is σ = 73649157120. Its totient is φ = 3583180800.

The previous prime is 16775890553. The next prime is 16775890567. The reversal of 16775890560 is 6509857761.

16775890560 is a `hidden beast` number, since 1 + 6 + 7 + 7 + 589 + 0 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16775890553) and next prime (16775890567).

It is a super-2 number, since 2×16775890560² (a number of 21 digits) contains 22 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 = 16775890497 and 16775890506.

It is not an unprimeable number, because it can be changed into a prime (16775890567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 229806684 + ... + 229806756.

It is an arithmetic number, because the mean of its divisors is an integer number (57538404).

Almost surely, 2^16775890560 is an apocalyptic number.

16775890560 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 16775890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36824578560).

16775890560 is an abundant number, since it is smaller than the sum of its proper divisors (56873266560).

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

16775890560 is a wasteful number, since it uses less digits than its factorization.

16775890560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 16775890560 in words is "sixteen billion, seven hundred seventy-five million, eight hundred ninety thousand, five hundred sixty".