73110050000000 has 576 divisors, whose sum is σ = 197737457352120. Its totient is φ = 26764800000000.

The previous prime is 73110049999993. The next prime is 73110050000011. The reversal of 73110050000000 is 5001137.

73110050000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 36 ways, for example, as 8192738391616 + 64917311608384 = 2862296^2 + 8057128^2 .

It is a super-2 number, since 2×73110050000000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89049999590 + ... + 89050000410.

Almost surely, 2^{73110050000000} 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 73110050000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98868728676060).

73110050000000 is an abundant number, since it is smaller than the sum of its proper divisors (124627407352120).

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

73110050000000 is an frugal number, since it uses more digits than its factorization.

73110050000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

Adding to 73110050000000 its reverse (5001137), we get a palindrome (73110055001137).

The spelling of 73110050000000 in words is "seventy-three trillion, one hundred ten billion, fifty million", and thus it is an aban number.