75295360000 has 385 divisors, whose sum is σ = 219433726699. Its totient is φ = 25815552000.

The previous prime is 75295359989. The next prime is 75295360001. The reversal of 75295360000 is 6359257.

The square root of 75295360000 is 274400.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 5903156224 + 69392203776 = 76832^2 + 263424^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75295360001) by changing a digit.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 10756479997 + ... + 10756480003.

Almost surely, 2^75295360000 is an apocalyptic number.

75295360000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

75295360000 is the 274400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75295360000

75295360000 is an abundant number, since it is smaller than the sum of its proper divisors (144138366699).

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

75295360000 is an frugal number, since it uses more digits than its factorization.

75295360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 37.

The spelling of 75295360000 in words is "seventy-five billion, two hundred ninety-five million, three hundred sixty thousand".