180080724096000 has 7040 divisors, whose sum is σ = 877426972950528. Its totient is φ = 35712368640000.

The previous prime is 180080724095999. The next prime is 180080724096083. The reversal of 180080724096000 is 690427080081.

180080724096000 is a `hidden beast` number, since 18 + 0 + 0 + 8 + 0 + 7 + 24 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1374662015935 + ... + 1374662016065.

Almost surely, 2^{180080724096000} is an apocalyptic number.

180080724096000 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 180080724096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438713486475264).

180080724096000 is an abundant number, since it is smaller than the sum of its proper divisors (697346248854528).

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

180080724096000 is a wasteful number, since it uses less digits than its factorization.

180080724096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 180080724096000 in words is "one hundred eighty trillion, eighty billion, seven hundred twenty-four million, ninety-six thousand".