1868075855360 has 320 divisors, whose sum is σ = 5274382417920. Its totient is φ = 625576673280.

The previous prime is 1868075855329. The next prime is 1868075855383. The reversal of 1868075855360 is 635585708681.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 1868075855293 and 1868075855302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162167681 + ... + 162179199.

It is an arithmetic number, because the mean of its divisors is an integer number (16482445056).

Almost surely, 2^{1868075855360} is an apocalyptic number.

1868075855360 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 1868075855360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637191208960).

1868075855360 is an abundant number, since it is smaller than the sum of its proper divisors (3406306562560).

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

1868075855360 is a wasteful number, since it uses less digits than its factorization.

1868075855360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12009 (or 11993 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 62.

The spelling of 1868075855360 in words is "one trillion, eight hundred sixty-eight billion, seventy-five million, eight hundred fifty-five thousand, three hundred sixty".