1016018011800 has 576 divisors, whose sum is σ = 4148742499200. Its totient is φ = 219616358400.

The previous prime is 1016018011777. The next prime is 1016018011859. The reversal of 1016018011800 is 81108106101.

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 143 ways as a sum of consecutive naturals, for example, 6315967 + ... + 6474833.

It is an arithmetic number, because the mean of its divisors is an integer number (7202677950).

Almost surely, 2^{1016018011800} is an apocalyptic number.

1016018011800 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 1016018011800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074371249600).

1016018011800 is an abundant number, since it is smaller than the sum of its proper divisors (3132724487400).

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

1016018011800 is a wasteful number, since it uses less digits than its factorization.

1016018011800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158936 (or 158924 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 27.

The spelling of 1016018011800 in words is "one trillion, sixteen billion, eighteen million, eleven thousand, eight hundred".