1672360058880 has 1512 divisors, whose sum is σ = 7057790108928. Its totient is φ = 379243855872.

The previous prime is 1672360058869. The next prime is 1672360058903. The reversal of 1672360058880 is 888500632761.

1672360058880 is a `hidden beast` number, since 1 + 6 + 7 + 23 + 600 + 5 + 8 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 13168189377 + ... + 13168189503.

Almost surely, 2^{1672360058880} is an apocalyptic number.

1672360058880 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 1672360058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528895054464).

1672360058880 is an abundant number, since it is smaller than the sum of its proper divisors (5385430050048).

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

1672360058880 is an frugal number, since it uses more digits than its factorization.

1672360058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 1672360058880 in words is "one trillion, six hundred seventy-two billion, three hundred sixty million, fifty-eight thousand, eight hundred eighty".