73580755872000 has 432 divisors, whose sum is σ = 264644566962048. Its totient is φ = 18112182067200.

The previous prime is 73580755871993. The next prime is 73580755872011. The reversal of 73580755872000 is 27855708537.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13956349 + ... + 18491651.

It is an arithmetic number, because the mean of its divisors is an integer number (612603164264).

Almost surely, 2^{73580755872000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73580755872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132322283481024).

73580755872000 is an abundant number, since it is smaller than the sum of its proper divisors (191063811090048).

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

73580755872000 is a wasteful number, since it uses less digits than its factorization.

73580755872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535363 (or 4535326 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 57.

The spelling of 73580755872000 in words is "seventy-three trillion, five hundred eighty billion, seven hundred fifty-five million, eight hundred seventy-two thousand".