1868025610080 has 288 divisors, whose sum is σ = 7289148642048. Its totient is φ = 426751718400.

The previous prime is 1868025610007. The next prime is 1868025610081. The reversal of 1868025610080 is 800165208681.

1868025610080 is a `hidden beast` number, since 1 + 8 + 6 + 8 + 0 + 2 + 561 + 0 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1868025610081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19416495 + ... + 19512465.

It is an arithmetic number, because the mean of its divisors is an integer number (25309543896).

Almost surely, 2^{1868025610080} is an apocalyptic number.

1868025610080 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 1868025610080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3644574321024).

1868025610080 is an abundant number, since it is smaller than the sum of its proper divisors (5421123031968).

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

1868025610080 is a wasteful number, since it uses less digits than its factorization.

1868025610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97930 (or 97919 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1868025610080 in words is "one trillion, eight hundred sixty-eight billion, twenty-five million, six hundred ten thousand, eighty".