1610655165120 has 896 divisors, whose sum is σ = 5954280192000. Its totient is φ = 366510735360.

The previous prime is 1610655165113. The next prime is 1610655165127. The reversal of 1610655165120 is 215615560161.

It is an interprime number because it is at equal distance from previous prime (1610655165113) and next prime (1610655165127).

It is a super-2 number, since 2×1610655165120² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1610655165127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 498807666 + ... + 498810894.

It is an arithmetic number, because the mean of its divisors is an integer number (6645402000).

Almost surely, 2^{1610655165120} is an apocalyptic number.

1610655165120 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 1610655165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977140096000).

1610655165120 is an abundant number, since it is smaller than the sum of its proper divisors (4343625026880).

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

1610655165120 is a wasteful number, since it uses less digits than its factorization.

1610655165120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3351 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 39.

The spelling of 1610655165120 in words is "one trillion, six hundred ten billion, six hundred fifty-five million, one hundred sixty-five thousand, one hundred twenty".