1870173146160 has 800 divisors, whose sum is σ = 7408615104000. Its totient is φ = 432804556800.

The previous prime is 1870173146131. The next prime is 1870173146213. The reversal of 1870173146160 is 616413710781.

It is a happy number.

1870173146160 is a `hidden beast` number, since 1 + 8 + 7 + 0 + 17 + 3 + 14 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1247613091 + ... + 1247614589.

It is an arithmetic number, because the mean of its divisors is an integer number (9260768880).

Almost surely, 2^{1870173146160} is an apocalyptic number.

1870173146160 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 1870173146160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704307552000).

1870173146160 is an abundant number, since it is smaller than the sum of its proper divisors (5538441957840).

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

1870173146160 is a wasteful number, since it uses less digits than its factorization.

1870173146160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2319 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 1870173146160 in words is "one trillion, eight hundred seventy billion, one hundred seventy-three million, one hundred forty-six thousand, one hundred sixty".