1998140785200 has 360 divisors, whose sum is σ = 7930167817728. Its totient is φ = 456402193920.

The previous prime is 1998140785189. The next prime is 1998140785211. The reversal of 1998140785200 is 25870418991.

It is a happy number.

1998140785200 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 1 + 40 + 78 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1998140785189) and next prime (1998140785211).

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37445739 + ... + 37499061.

Almost surely, 2^{1998140785200} is an apocalyptic number.

1998140785200 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 1998140785200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3965083908864).

1998140785200 is an abundant number, since it is smaller than the sum of its proper divisors (5932027032528).

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

1998140785200 is a wasteful number, since it uses less digits than its factorization.

1998140785200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54841 (or 54827 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 1998140785200 in words is "one trillion, nine hundred ninety-eight billion, one hundred forty million, seven hundred eighty-five thousand, two hundred".