75465283960000 has 280 divisors, whose sum is σ = 204398226392976. Its totient is φ = 27407362560000.

The previous prime is 75465283959943. The next prime is 75465283960009. The reversal of 75465283960000 is 6938256457.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (75465283960009) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 350572402 + ... + 350787598.

Almost surely, 2^{75465283960000} 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 75465283960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102199113196488).

75465283960000 is an abundant number, since it is smaller than the sum of its proper divisors (128932942432976).

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

75465283960000 is a wasteful number, since it uses less digits than its factorization.

75465283960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216037 (or 216012 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 55.

The spelling of 75465283960000 in words is "seventy-five trillion, four hundred sixty-five billion, two hundred eighty-three million, nine hundred sixty thousand".