180152716656 has 160 divisors (see below), whose sum is σ = 512406061056. Its totient is φ = 54087264000.

The previous prime is 180152716649. The next prime is 180152716663. The reversal of 180152716656 is 656617251081.

180152716656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (180152716649) and next prime (180152716663).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 66451141 + ... + 66453851.

Almost surely, 2^180152716656 is an apocalyptic number.

180152716656 is a gapful number since it is divisible by the number (16) 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 180152716656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256203030528).

180152716656 is an abundant number, since it is smaller than the sum of its proper divisors (332253344400).

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

180152716656 is a wasteful number, since it uses less digits than its factorization.

180152716656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 180152716656 in words is "one hundred eighty billion, one hundred fifty-two million, seven hundred sixteen thousand, six hundred fifty-six".