1678444581120 has 288 divisors, whose sum is σ = 5671069824000. Its totient is φ = 421893660672.

The previous prime is 1678444581103. The next prime is 1678444581169. The reversal of 1678444581120 is 211854448761.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 14461239 + ... + 14576841.

Almost surely, 2^{1678444581120} is an apocalyptic number.

1678444581120 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 1678444581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2835534912000).

1678444581120 is an abundant number, since it is smaller than the sum of its proper divisors (3992625242880).

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

1678444581120 is a wasteful number, since it uses less digits than its factorization.

1678444581120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115845 (or 115831 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 1678444581120 in words is "one trillion, six hundred seventy-eight billion, four hundred forty-four million, five hundred eighty-one thousand, one hundred twenty".