1601632003200 has 192 divisors, whose sum is σ = 5404044431520. Its totient is φ = 416684646400.

The previous prime is 1601632003193. The next prime is 1601632003207. The reversal of 1601632003200 is 23002361061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1601632003193) and next prime (1601632003207).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1601632003207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640994 + ... + 2428193.

Almost surely, 2^{1601632003200} is an apocalyptic number.

1601632003200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601632003200 is an abundant number, since it is smaller than the sum of its proper divisors (3802412428320).

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

1601632003200 is a wasteful number, since it uses less digits than its factorization.

1601632003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069255 (or 4069238 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1601632003200 its reverse (23002361061), we get a palindrome (1624634364261).

The spelling of 1601632003200 in words is "one trillion, six hundred one billion, six hundred thirty-two million, three thousand, two hundred".