1600342968200 has 96 divisors (see below), whose sum is σ = 3732959616960. Its totient is φ = 638047238400.

The previous prime is 1600342968157. The next prime is 1600342968239. The reversal of 1600342968200 is 28692430061.

It is a super-2 number, since 2×1600342968200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117743405 + ... + 117756995.

It is an arithmetic number, because the mean of its divisors is an integer number (38884996010).

Almost surely, 2^{1600342968200} is an apocalyptic number.

1600342968200 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 1600342968200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866479808480).

1600342968200 is an abundant number, since it is smaller than the sum of its proper divisors (2132616648760).

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

1600342968200 is a wasteful number, since it uses less digits than its factorization.

1600342968200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15487 (or 15478 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 1600342968200 in words is "one trillion, six hundred billion, three hundred forty-two million, nine hundred sixty-eight thousand, two hundred".