1631705420160 has 1792 divisors, whose sum is σ = 6588555033600. Its totient is φ = 384296140800.

The previous prime is 1631705420159. The next prime is 1631705420161. The reversal of 1631705420160 is 610245071361.

1631705420160 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 70 + 5 + 420 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (1631705420159) and next prime (1631705420161).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1631705420161) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 10805996085 + ... + 10805996235.

Almost surely, 2^{1631705420160} is an apocalyptic number.

1631705420160 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 1631705420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294277516800).

1631705420160 is an abundant number, since it is smaller than the sum of its proper divisors (4956849613440).

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

1631705420160 is a wasteful number, since it uses less digits than its factorization.

1631705420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1631705420160 in words is "one trillion, six hundred thirty-one billion, seven hundred five million, four hundred twenty thousand, one hundred sixty".