1485169807680 has 336 divisors, whose sum is σ = 5504409565200. Its totient is φ = 365374734336.

The previous prime is 1485169807673. The next prime is 1485169807687. The reversal of 1485169807680 is 867089615841.

1485169807680 is a `hidden beast` number, since 1 + 48 + 516 + 9 + 8 + 0 + 76 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1485169807673) and next prime (1485169807687).

It can be written as a sum of positive squares in 8 ways, for example, as 40904253504 + 1444265554176 = 202248^2 + 1201776^2 .

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1485169807687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72960384 + ... + 72980736.

It is an arithmetic number, because the mean of its divisors is an integer number (16382171325).

Almost surely, 2^{1485169807680} is an apocalyptic number.

1485169807680 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 1485169807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2752204782600).

1485169807680 is an abundant number, since it is smaller than the sum of its proper divisors (4019239757520).

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

1485169807680 is a wasteful number, since it uses less digits than its factorization.

1485169807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22338 (or 22325 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1485169807680 in words is "one trillion, four hundred eighty-five billion, one hundred sixty-nine million, eight hundred seven thousand, six hundred eighty".