179975313420 has 288 divisors, whose sum is σ = 607931670528. Its totient is φ = 39634334208.

The previous prime is 179975313359. The next prime is 179975313473. The reversal of 179975313420 is 24313579971.

179975313420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×179975313420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11196309 + ... + 11212371.

It is an arithmetic number, because the mean of its divisors is an integer number (2110873856).

Almost surely, 2^179975313420 is an apocalyptic number.

179975313420 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 179975313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303965835264).

179975313420 is an abundant number, since it is smaller than the sum of its proper divisors (427956357108).

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

179975313420 is a wasteful number, since it uses less digits than its factorization.

179975313420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16229 (or 16220 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 51.

The spelling of 179975313420 in words is "one hundred seventy-nine billion, nine hundred seventy-five million, three hundred thirteen thousand, four hundred twenty".