180113077092672 has 280 divisors, whose sum is σ = 536369268879840. Its totient is φ = 59761758735360.

The previous prime is 180113077092653. The next prime is 180113077092677. The reversal of 180113077092672 is 276290770311081.

180113077092672 is a `hidden beast` number, since 1 + 8 + 0 + 1 + 1 + 307 + 70 + 9 + 267 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180113077092677) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1463189847 + ... + 1463312937.

Almost surely, 2^{180113077092672} is an apocalyptic number.

180113077092672 is a gapful number since it is divisible by the number (12) 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 180113077092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268184634439920).

180113077092672 is an abundant number, since it is smaller than the sum of its proper divisors (356256191787168).

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

180113077092672 is a wasteful number, since it uses less digits than its factorization.

180113077092672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124411 (or 124392 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 180113077092672 in words is "one hundred eighty trillion, one hundred thirteen billion, seventy-seven million, ninety-two thousand, six hundred seventy-two".