75715042000 has 240 divisors, whose sum is σ = 209922693552. Its totient is φ = 26309836800.

The previous prime is 75715041989. The next prime is 75715042031. The reversal of 75715042000 is 24051757.

It can be written as a sum of positive squares in 24 ways, for example, as 75706421904 + 8620096 = 275148^2 + 2936^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5739412 + ... + 5752588.

Almost surely, 2^75715042000 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 75715042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104961346776).

75715042000 is an abundant number, since it is smaller than the sum of its proper divisors (134207651552).

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

75715042000 is a wasteful number, since it uses less digits than its factorization.

75715042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13243 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 31.

Adding to 75715042000 its reverse (24051757), we get a palindrome (75739093757).

It can be divided in two parts, 7571504 and 2000, that added together give a square (7573504 = 2752²).

The spelling of 75715042000 in words is "seventy-five billion, seven hundred fifteen million, forty-two thousand".