180873628346880 has 480 divisors, whose sum is σ = 738997987673088. Its totient is φ = 40008912076800.

The previous prime is 180873628346863. The next prime is 180873628346899. The reversal of 180873628346880 is 88643826378081.

180873628346880 is a `hidden beast` number, since 1 + 8 + 0 + 8 + 7 + 3 + 6 + 2 + 83 + 468 + 80 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 180873628346799 and 180873628346808.

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 47 ways as a sum of consecutive naturals, for example, 13088841 + ... + 23088200.

Almost surely, 2^{180873628346880} is an apocalyptic number.

180873628346880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

180873628346880 is an abundant number, since it is smaller than the sum of its proper divisors (558124359326208).

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

180873628346880 is a wasteful number, since it uses less digits than its factorization.

180873628346880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36177108 (or 36177089 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 180873628346880 in words is "one hundred eighty trillion, eight hundred seventy-three billion, six hundred twenty-eight million, three hundred forty-six thousand, eight hundred eighty".