1671974853120 has 2560 divisors, whose sum is σ = 7622512128000. Its totient is φ = 341118812160.

The previous prime is 1671974853119. The next prime is 1671974853151. The reversal of 1671974853120 is 213584791761.

1671974853120 is a `hidden beast` number, since 1 + 6 + 7 + 19 + 74 + 8 + 531 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 255 ways as a sum of consecutive naturals, for example, 5446172007 + ... + 5446172313.

It is an arithmetic number, because the mean of its divisors is an integer number (2977543800).

It is a 1-persistent number, because it is pandigital, but 2⋅1671974853120 = 3343949706240 is not.

Almost surely, 2^{1671974853120} is an apocalyptic number.

1671974853120 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 1671974853120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3811256064000).

1671974853120 is an abundant number, since it is smaller than the sum of its proper divisors (5950537274880).

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

1671974853120 is a wasteful number, since it uses less digits than its factorization.

1671974853120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 1671974853120 in words is "one trillion, six hundred seventy-one billion, nine hundred seventy-four million, eight hundred fifty-three thousand, one hundred twenty".