180591126137472 has 128 divisors (see below), whose sum is σ = 491116431960000. Its totient is φ = 58797100895232.

The previous prime is 180591126137453. The next prime is 180591126137533. The reversal of 180591126137472 is 274731621195081.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×180591126137472² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27573154 + ... + 33488222.

It is a 1-persistent number, because it is pandigital, but 2⋅180591126137472 = 361182252274944 is not.

Almost surely, 2^{180591126137472} is an apocalyptic number.

180591126137472 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 180591126137472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245558215980000).

180591126137472 is an abundant number, since it is smaller than the sum of its proper divisors (310525305822528).

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

180591126137472 is an frugal number, since it uses more digits than its factorization.

180591126137472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5915215 (or 5915117 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 180591126137472 in words is "one hundred eighty trillion, five hundred ninety-one billion, one hundred twenty-six million, one hundred thirty-seven thousand, four hundred seventy-two".