1601943552000 has 720 divisors, whose sum is σ = 6301194760224. Its totient is φ = 388300800000.

The previous prime is 1601943551959. The next prime is 1601943552007. The reversal of 1601943552000 is 2553491061.

1601943552000 is a `hidden beast` number, since 1 + 6 + 0 + 19 + 435 + 5 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1601943552007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202748050 + ... + 202755950.

Almost surely, 2^{1601943552000} is an apocalyptic number.

1601943552000 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 1601943552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150597380112).

1601943552000 is an abundant number, since it is smaller than the sum of its proper divisors (4699251208224).

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

1601943552000 is an equidigital number, since it uses as much as digits as its factorization.

1601943552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7961 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1601943552000 in words is "one trillion, six hundred one billion, nine hundred forty-three million, five hundred fifty-two thousand".