1800108186240 has 768 divisors, whose sum is σ = 7212297697920. Its totient is φ = 378523385856.

The previous prime is 1800108186211. The next prime is 1800108186269. The reversal of 1800108186240 is 426818010081.

It is an interprime number because it is at equal distance from previous prime (1800108186211) and next prime (1800108186269).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 387701359 + ... + 387706001.

Almost surely, 2^{1800108186240} is an apocalyptic number.

1800108186240 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 1800108186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606148848960).

1800108186240 is an abundant number, since it is smaller than the sum of its proper divisors (5412189511680).

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

1800108186240 is a wasteful number, since it uses less digits than its factorization.

1800108186240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5009 (or 4990 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 39.

The spelling of 1800108186240 in words is "one trillion, eight hundred billion, one hundred eight million, one hundred eighty-six thousand, two hundred forty".