75085056000 has 1152 divisors, whose sum is σ = 301359502080. Its totient is φ = 18579456000.

The previous prime is 75085055971. The next prime is 75085056113. The reversal of 75085056000 is 65058057.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1057535965 + ... + 1057536035.

It is an arithmetic number, because the mean of its divisors is an integer number (261596790).

Almost surely, 2^75085056000 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 75085056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150679751040).

75085056000 is an abundant number, since it is smaller than the sum of its proper divisors (226274446080).

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

75085056000 is an equidigital number, since it uses as much as digits as its factorization.

75085056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 75085056000 in words is "seventy-five billion, eighty-five million, fifty-six thousand".