1659590674560 has 1920 divisors, whose sum is σ = 7685109154800. Its totient is φ = 337885986816.

The previous prime is 1659590674549. The next prime is 1659590674583. The reversal of 1659590674560 is 654760959561.

1659590674560 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 5 + 9 + 0 + 67 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 386177730624 + 1273412943936 = 621432^2 + 1128456^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 957639454 + ... + 957641186.

Almost surely, 2^{1659590674560} is an apocalyptic number.

1659590674560 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 1659590674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842554577400).

1659590674560 is an abundant number, since it is smaller than the sum of its proper divisors (6025518480240).

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

1659590674560 is a wasteful number, since it uses less digits than its factorization.

1659590674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 61236000, while the sum is 63.

The spelling of 1659590674560 in words is "one trillion, six hundred fifty-nine billion, five hundred ninety million, six hundred seventy-four thousand, five hundred sixty".