997161516720 has 360 divisors, whose sum is σ = 3456936450240. Its totient is φ = 257590135296.

The previous prime is 997161516683. The next prime is 997161516737. The reversal of 997161516720 is 27615161799.

997161516720 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 615 + 16 + 7 + 2 + 0 = 666.

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

It is a congruent number.

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, 12622297641 + ... + 12622297719.

Almost surely, 2^997161516720 is an apocalyptic number.

997161516720 is a gapful number since it is divisible by the number (90) 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 997161516720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728468225120).

997161516720 is an abundant number, since it is smaller than the sum of its proper divisors (2459774933520).

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

997161516720 is an frugal number, since it uses more digits than its factorization.

997161516720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 997161516720 in words is "nine hundred ninety-seven billion, one hundred sixty-one million, five hundred sixteen thousand, seven hundred twenty".