1601863795200 has 480 divisors, whose sum is σ = 5699815545600. Its totient is φ = 395262443520.

The previous prime is 1601863795199. The next prime is 1601863795211. The reversal of 1601863795200 is 25973681061.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1601863795200.

It is an unprimeable number.

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, 31347271 + ... + 31398329.

It is an arithmetic number, because the mean of its divisors is an integer number (11874615720).

Almost surely, 2^{1601863795200} is an apocalyptic number.

1601863795200 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 1601863795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849907772800).

1601863795200 is an abundant number, since it is smaller than the sum of its proper divisors (4097951750400).

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

1601863795200 is a wasteful number, since it uses less digits than its factorization.

1601863795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51152 (or 51131 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 1601863795200 in words is "one trillion, six hundred one billion, eight hundred sixty-three million, seven hundred ninety-five thousand, two hundred".