1018990171800 has 288 divisors, whose sum is σ = 3455867404080. Its totient is φ = 269063040000.

The previous prime is 1018990171789. The next prime is 1018990171807. The reversal of 1018990171800 is 81710998101.

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 (1018990171807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78154882 + ... + 78167918.

Almost surely, 2^{1018990171800} is an apocalyptic number.

1018990171800 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 1018990171800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727933702040).

1018990171800 is an abundant number, since it is smaller than the sum of its proper divisors (2436877232280).

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

1018990171800 is a wasteful number, since it uses less digits than its factorization.

1018990171800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13483 (or 13471 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 45.

The spelling of 1018990171800 in words is "one trillion, eighteen billion, nine hundred ninety million, one hundred seventy-one thousand, eight hundred".