1676181561120 has 480 divisors, whose sum is σ = 6832914713856. Its totient is φ = 382443724800.

The previous prime is 1676181561079. The next prime is 1676181561127. The reversal of 1676181561120 is 211651816761.

1676181561120 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 1 + 8 + 1 + 5 + 611 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1676181561127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2077705 + ... + 2769335.

Almost surely, 2^{1676181561120} is an apocalyptic number.

1676181561120 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 1676181561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3416457356928).

1676181561120 is an abundant number, since it is smaller than the sum of its proper divisors (5156733152736).

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

1676181561120 is a wasteful number, since it uses less digits than its factorization.

1676181561120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691686 (or 691669 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 1676181561120 in words is "one trillion, six hundred seventy-six billion, one hundred eighty-one million, five hundred sixty-one thousand, one hundred twenty".