1038198961800 has 3072 divisors, whose sum is σ = 5129671680000. Its totient is φ = 186026803200.

The previous prime is 1038198961747. The next prime is 1038198961817. The reversal of 1038198961800 is 81698918301.

1038198961800 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 19 + 8 + 9 + 618 + 0 + 0 = 666.

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

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 767 ways as a sum of consecutive naturals, for example, 5799994111 + ... + 5799994289.

It is an arithmetic number, because the mean of its divisors is an integer number (1669815000).

Almost surely, 2^{1038198961800} is an apocalyptic number.

1038198961800 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 1038198961800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564835840000).

1038198961800 is an abundant number, since it is smaller than the sum of its proper divisors (4091472718200).

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

1038198961800 is a wasteful number, since it uses less digits than its factorization.

1038198961800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 1038198961800 in words is "one trillion, thirty-eight billion, one hundred ninety-eight million, nine hundred sixty-one thousand, eight hundred".