1608722519040 has 1584 divisors, whose sum is σ = 7160261367168. Its totient is φ = 339112230912.

The previous prime is 1608722518993. The next prime is 1608722519167. The reversal of 1608722519040 is 409152278061.

1608722519040 is a `hidden beast` number, since 1 + 60 + 8 + 72 + 2 + 519 + 0 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1471840734 + ... + 1471841826.

Almost surely, 2^{1608722519040} is an apocalyptic number.

1608722519040 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 1608722519040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580130683584).

1608722519040 is an abundant number, since it is smaller than the sum of its proper divisors (5551538848128).

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

1608722519040 is a wasteful number, since it uses less digits than its factorization.

1608722519040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1608722519040 in words is "one trillion, six hundred eight billion, seven hundred twenty-two million, five hundred nineteen thousand, forty".