1998086400000 has 1152 divisors, whose sum is σ = 7657159910400. Its totient is φ = 514252800000.

The previous prime is 1998086399807. The next prime is 1998086400007. The reversal of 1998086400000 is 46808991.

1998086400000 is a `hidden beast` number, since 1 + 99 + 80 + 86 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 (1998086400007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5356799814 + ... + 5356800186.

It is an arithmetic number, because the mean of its divisors is an integer number (6646840200).

Almost surely, 2^{1998086400000} is an apocalyptic number.

1998086400000 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 1998086400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828579955200).

1998086400000 is an abundant number, since it is smaller than the sum of its proper divisors (5659073510400).

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

1998086400000 is an frugal number, since it uses more digits than its factorization.

1998086400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 1998086400000 in words is "one trillion, nine hundred ninety-eight billion, eighty-six million, four hundred thousand".