1997835840000 has 4500 divisors, whose sum is σ = 10260453824082. Its totient is φ = 383201280000.

The previous prime is 1997835839983. The next prime is 1997835840019. The reversal of 1997835840000 is 485387991.

It can be written as a sum of positive squares in 5 ways, for example, as 14876193024 + 1982959646976 = 121968^2 + 1408176^2 .

It is a tau number, because it is divible by the number of its divisors (4500).

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

It is an unprimeable number.

It is a polite number, since it can be written in 449 ways as a sum of consecutive naturals, for example, 153679679994 + ... + 153679680006.

Almost surely, 2^{1997835840000} is an apocalyptic number.

1997835840000 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 1997835840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130226912041).

1997835840000 is an abundant number, since it is smaller than the sum of its proper divisors (8262617984082).

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

1997835840000 is an equidigital number, since it uses as much as digits as its factorization.

1997835840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1997835840000 in words is "one trillion, nine hundred ninety-seven billion, eight hundred thirty-five million, eight hundred forty thousand".