1997281604160 has 336 divisors, whose sum is σ = 7060745742336. Its totient is φ = 517950590976.

The previous prime is 1997281604063. The next prime is 1997281604173. The reversal of 1997281604160 is 614061827991.

1997281604160 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 28 + 1 + 604 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1997281604097 and 1997281604106.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21204529 + ... + 21298511.

Almost surely, 2^{1997281604160} is an apocalyptic number.

1997281604160 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 1997281604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3530372871168).

1997281604160 is an abundant number, since it is smaller than the sum of its proper divisors (5063464138176).

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

1997281604160 is a wasteful number, since it uses less digits than its factorization.

1997281604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94210 (or 94197 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 1997281604160 in words is "one trillion, nine hundred ninety-seven billion, two hundred eighty-one million, six hundred four thousand, one hundred sixty".