1998760528800 has 648 divisors, whose sum is σ = 8398876898412. Its totient is φ = 445713408000.

The previous prime is 1998760528783. The next prime is 1998760528813. The reversal of 1998760528800 is 88250678991.

It is a happy number.

1998760528800 is a `hidden beast` number, since 19 + 9 + 8 + 7 + 605 + 2 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 597349677456 + 1401410851344 = 772884^2 + 1183812^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 14395710 + ... + 14533890.

Almost surely, 2^{1998760528800} is an apocalyptic number.

1998760528800 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 1998760528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4199438449206).

1998760528800 is an abundant number, since it is smaller than the sum of its proper divisors (6400116369612).

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

1998760528800 is a wasteful number, since it uses less digits than its factorization.

1998760528800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138262 (or 138239 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1998760528800 in words is "one trillion, nine hundred ninety-eight billion, seven hundred sixty million, five hundred twenty-eight thousand, eight hundred".