75240000000000 has 1716 divisors, whose sum is σ = 311961907673520. Its totient is φ = 17280000000000.

The previous prime is 75239999999947. The next prime is 75240000000013. The reversal of 75240000000000 is 4257.

It is a happy number.

It is a super-2 number, since 2×75240000000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 3959999999991 + ... + 3960000000009.

Almost surely, 2^{75240000000000} 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 75240000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155980953836760).

75240000000000 is an abundant number, since it is smaller than the sum of its proper divisors (236721907673520).

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

75240000000000 is an frugal number, since it uses more digits than its factorization.

75240000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

Adding to 75240000000000 its reverse (4257), we get a palindrome (75240000004257).

The spelling of 75240000000000 in words is "seventy-five trillion, two hundred forty billion", and thus it is an aban number.