180807537917952 has 1728 divisors, whose sum is σ = 621678541760640. Its totient is φ = 50054823936000.

The previous prime is 180807537917873. The next prime is 180807537917953. The reversal of 180807537917952 is 259719735708081.

180807537917952 is a `hidden beast` number, since 1 + 8 + 0 + 80 + 7 + 5 + 379 + 179 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (180807537917953) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319763050428 + ... + 1319763050564.

It is an arithmetic number, because the mean of its divisors is an integer number (359767674630).

Almost surely, 2^{180807537917952} is an apocalyptic number.

180807537917952 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 180807537917952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310839270880320).

180807537917952 is an abundant number, since it is smaller than the sum of its proper divisors (440871003842688).

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

180807537917952 is a wasteful number, since it uses less digits than its factorization.

180807537917952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 180807537917952 in words is "one hundred eighty trillion, eight hundred seven billion, five hundred thirty-seven million, nine hundred seventeen thousand, nine hundred fifty-two".