1997305480512 has 140 divisors (see below), whose sum is σ = 5924804322580. Its totient is φ = 665300127744.

The previous prime is 1997305480481. The next prime is 1997305480523. The reversal of 1997305480512 is 2150845037991.

It is a happy number.

1997305480512 is a `hidden beast` number, since 1 + 9 + 9 + 73 + 0 + 54 + 8 + 0 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1198026567936 + 799278912576 = 1094544^2 + 894024^2 .

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 19 ways as a sum of consecutive naturals, for example, 7273128 + ... + 7542744.

Almost surely, 2^{1997305480512} is an apocalyptic number.

1997305480512 is a gapful number since it is divisible by the number (12) 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 1997305480512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962402161290).

1997305480512 is an abundant number, since it is smaller than the sum of its proper divisors (3927498842068).

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

1997305480512 is a wasteful number, since it uses less digits than its factorization.

1997305480512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271070 (or 271051 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1997305480512 in words is "one trillion, nine hundred ninety-seven billion, three hundred five million, four hundred eighty thousand, five hundred twelve".