1610948271680 has 448 divisors, whose sum is σ = 4612347131904. Its totient is φ = 533481062400.

The previous prime is 1610948271631. The next prime is 1610948271703. The reversal of 1610948271680 is 861728490161.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224456252 + ... + 224463428.

Almost surely, 2^{1610948271680} is an apocalyptic number.

1610948271680 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 1610948271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2306173565952).

1610948271680 is an abundant number, since it is smaller than the sum of its proper divisors (3001398860224).

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

1610948271680 is a wasteful number, since it uses less digits than its factorization.

1610948271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7275 (or 7243 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 53.

The spelling of 1610948271680 in words is "one trillion, six hundred ten billion, nine hundred forty-eight million, two hundred seventy-one thousand, six hundred eighty".