1799166082560 has 1280 divisors, whose sum is σ = 7384135385088. Its totient is φ = 362918707200.

The previous prime is 1799166082451. The next prime is 1799166082607. The reversal of 1799166082560 is 652806619971.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1799166082494 and 1799166082503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3065018587 + ... + 3065019173.

Almost surely, 2^{1799166082560} is an apocalyptic number.

1799166082560 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 1799166082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692067692544).

1799166082560 is an abundant number, since it is smaller than the sum of its proper divisors (5584969302528).

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

1799166082560 is a wasteful number, since it uses less digits than its factorization.

1799166082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 1799166082560 in words is "one trillion, seven hundred ninety-nine billion, one hundred sixty-six million, eighty-two thousand, five hundred sixty".