180203536985472 has 3072 divisors, whose sum is σ = 751965538222080. Its totient is φ = 41784815001600.

The previous prime is 180203536985467. The next prime is 180203536985477. The reversal of 180203536985472 is 274589635302081.

180203536985472 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 0 + 3 + 536 + 98 + 5 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (180203536985467) and next prime (180203536985477).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (180203536985477) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 116787774333 + ... + 116787775875.

It is an arithmetic number, because the mean of its divisors is an integer number (244780448640).

It is a 1-persistent number, because it is pandigital, but 2⋅180203536985472 = 360407073970944 is not.

Almost surely, 2^{180203536985472} is an apocalyptic number.

180203536985472 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 180203536985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375982769111040).

180203536985472 is an abundant number, since it is smaller than the sum of its proper divisors (571762001236608).

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

180203536985472 is a wasteful number, since it uses less digits than its factorization.

180203536985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1610 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 180203536985472 in words is "one hundred eighty trillion, two hundred three billion, five hundred thirty-six million, nine hundred eighty-five thousand, four hundred seventy-two".