180153438360 has 512 divisors, whose sum is σ = 677251031040. Its totient is φ = 37401329664.

The previous prime is 180153438349. The next prime is 180153438379. The reversal of 180153438360 is 63834351081.

It is a super-2 number, since 2×180153438360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 48992842 + ... + 48996518.

It is an arithmetic number, because the mean of its divisors is an integer number (1322755920).

Almost surely, 2^180153438360 is an apocalyptic number.

180153438360 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 180153438360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338625515520).

180153438360 is an abundant number, since it is smaller than the sum of its proper divisors (497097592680).

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

180153438360 is a wasteful number, since it uses less digits than its factorization.

180153438360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3831 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 180153438360 in words is "one hundred eighty billion, one hundred fifty-three million, four hundred thirty-eight thousand, three hundred sixty".