75053952000 has 1056 divisors, whose sum is σ = 297566330880. Its totient is φ = 18811699200.

The previous prime is 75053951989. The next prime is 75053952007. The reversal of 75053952000 is 25935057.

75053952000 is a `hidden beast` number, since 75 + 0 + 539 + 52 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (75053952007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 590975937 + ... + 590976063.

Almost surely, 2^75053952000 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 75053952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148783165440).

75053952000 is an abundant number, since it is smaller than the sum of its proper divisors (222512378880).

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

75053952000 is a wasteful number, since it uses less digits than its factorization.

75053952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 75053952000 in words is "seventy-five billion, fifty-three million, nine hundred fifty-two thousand".