1997055498960 has 800 divisors, whose sum is σ = 7436567556000. Its totient is φ = 496675307520.

The previous prime is 1997055498953. The next prime is 1997055498973. The reversal of 1997055498960 is 698945507991.

1997055498960 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 0 + 554 + 9 + 8 + 9 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1394798792256 + 602256706704 = 1181016^2 + 776052^2 .

It is a super-2 number, since 2×1997055498960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4743599550 + ... + 4743599970.

It is an arithmetic number, because the mean of its divisors is an integer number (9295709445).

Almost surely, 2^{1997055498960} is an apocalyptic number.

1997055498960 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 1997055498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718283778000).

1997055498960 is an abundant number, since it is smaller than the sum of its proper divisors (5439512057040).

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

1997055498960 is a wasteful number, since it uses less digits than its factorization.

1997055498960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 1997055498960 in words is "one trillion, nine hundred ninety-seven billion, fifty-five million, four hundred ninety-eight thousand, nine hundred sixty".