1662106065200 has 120 divisors (see below), whose sum is σ = 4566022517760. Its totient is φ = 569570976000.

The previous prime is 1662106065107. The next prime is 1662106065203. The reversal of 1662106065200 is 25606012661.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (1662106065203) 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, 5310671 + ... + 5614929.

It is an arithmetic number, because the mean of its divisors is an integer number (38050187648).

Almost surely, 2^{1662106065200} is an apocalyptic number.

1662106065200 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 1662106065200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283011258880).

1662106065200 is an abundant number, since it is smaller than the sum of its proper divisors (2903916452560).

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

1662106065200 is a wasteful number, since it uses less digits than its factorization.

1662106065200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306235 (or 306224 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 1662106065200 in words is "one trillion, six hundred sixty-two billion, one hundred six million, sixty-five thousand, two hundred".