1868509354320 has 800 divisors, whose sum is σ = 7863710190336. Its totient is φ = 401415782400.

The previous prime is 1868509354301. The next prime is 1868509354379. The reversal of 1868509354320 is 234539058681.

1868509354320 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 5 + 0 + 93 + 543 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 841290810 + ... + 841293030.

Almost surely, 2^{1868509354320} is an apocalyptic number.

1868509354320 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 1868509354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3931855095168).

1868509354320 is an abundant number, since it is smaller than the sum of its proper divisors (5995200836016).

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

1868509354320 is a wasteful number, since it uses less digits than its factorization.

1868509354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 1868509354320 in words is "one trillion, eight hundred sixty-eight billion, five hundred nine million, three hundred fifty-four thousand, three hundred twenty".