75360065006000 has 160 divisors (see below), whose sum is σ = 187603098883200. Its totient is φ = 29261016576000.

The previous prime is 75360065005969. The next prime is 75360065006011. The reversal of 75360065006000 is 60056006357.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14008892 + ... + 18627108.

It is an arithmetic number, because the mean of its divisors is an integer number (1172519368020).

Almost surely, 2^{75360065006000} 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 75360065006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93801549441600).

75360065006000 is an abundant number, since it is smaller than the sum of its proper divisors (112243033877200).

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

75360065006000 is a wasteful number, since it uses less digits than its factorization.

75360065006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618480 (or 4618464 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The spelling of 75360065006000 in words is "seventy-five trillion, three hundred sixty billion, sixty-five million, six thousand".