1608765986880 has 672 divisors, whose sum is σ = 6272346697344. Its totient is φ = 390077005824.

The previous prime is 1608765986879. The next prime is 1608765986881. The reversal of 1608765986880 is 886895678061.

1608765986880 is a `hidden beast` number, since 1 + 608 + 7 + 6 + 5 + 9 + 8 + 6 + 8 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1608765986879) and next prime (1608765986881).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1608765986799 and 1608765986808.

It is not an unprimeable number, because it can be changed into a prime (1608765986881) 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 95 ways as a sum of consecutive naturals, for example, 67717084 + ... + 67740836.

It is an arithmetic number, because the mean of its divisors is an integer number (9333849252).

Almost surely, 2^{1608765986880} is an apocalyptic number.

1608765986880 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 1608765986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136173348672).

1608765986880 is an abundant number, since it is smaller than the sum of its proper divisors (4663580710464).

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

1608765986880 is a wasteful number, since it uses less digits than its factorization.

1608765986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23865 (or 23843 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 72.

The spelling of 1608765986880 in words is "one trillion, six hundred eight billion, seven hundred sixty-five million, nine hundred eighty-six thousand, eight hundred eighty".