75204012000 has 384 divisors, whose sum is σ = 266587251840. Its totient is φ = 18423398400.

The previous prime is 75204011969. The next prime is 75204012071. The reversal of 75204012000 is 21040257.

It is a super-2 number, since 2×75204012000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36346966 + ... + 36349034.

It is an arithmetic number, because the mean of its divisors is an integer number (694237635).

Almost surely, 2^75204012000 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 75204012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133293625920).

75204012000 is an abundant number, since it is smaller than the sum of its proper divisors (191383239840).

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

75204012000 is a wasteful number, since it uses less digits than its factorization.

75204012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2325 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

Adding to 75204012000 its reverse (21040257), we get a palindrome (75225052257).

The spelling of 75204012000 in words is "seventy-five billion, two hundred four million, twelve thousand".