1997872128000 has 2688 divisors, whose sum is σ = 9049883222016. Its totient is φ = 429981696000.

The previous prime is 1997872127987. The next prime is 1997872128013. The reversal of 1997872128000 is 8212787991.

It is an interprime number because it is at equal distance from previous prime (1997872127987) and next prime (1997872128013).

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53996543982 + ... + 53996544018.

It is an arithmetic number, because the mean of its divisors is an integer number (3366772032).

Almost surely, 2^{1997872128000} is an apocalyptic number.

1997872128000 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 1997872128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524941611008).

1997872128000 is an abundant number, since it is smaller than the sum of its proper divisors (7052011094016).

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

1997872128000 is an frugal number, since it uses more digits than its factorization.

1997872128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1997872128000 in words is "one trillion, nine hundred ninety-seven billion, eight hundred seventy-two million, one hundred twenty-eight thousand".