180269972400 has 240 divisors, whose sum is σ = 681249794048. Its totient is φ = 39875328000.

The previous prime is 180269972341. The next prime is 180269972419. The reversal of 180269972400 is 4279962081.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 180269972400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85741 + ... + 606540.

Almost surely, 2^180269972400 is an apocalyptic number.

180269972400 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 180269972400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340624897024).

180269972400 is an abundant number, since it is smaller than the sum of its proper divisors (500979821648).

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

180269972400 is a wasteful number, since it uses less digits than its factorization.

180269972400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692340 (or 692329 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The spelling of 180269972400 in words is "one hundred eighty billion, two hundred sixty-nine million, nine hundred seventy-two thousand, four hundred".