95329837690000 has 225 divisors, whose sum is σ = 232616066314863. Its totient is φ = 37834728048000.

The previous prime is 95329837689967. The next prime is 95329837690007. The reversal of 95329837690000 is 9673892359.

The square root of 95329837690000 is 9763700.

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 7473859274896 + 87855978415104 = 2733836^2 + 9373152^2 .

It is a super-2 number, since 2×95329837690000² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95329837690007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159148309701 + ... + 159148310299.

Almost surely, 2^{95329837690000} is an apocalyptic number.

95329837690000 is the 9763700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95329837690000

95329837690000 is an abundant number, since it is smaller than the sum of its proper divisors (137286228624863).

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

95329837690000 is an frugal number, since it uses more digits than its factorization.

95329837690000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 61.

The spelling of 95329837690000 in words is "ninety-five trillion, three hundred twenty-nine billion, eight hundred thirty-seven million, six hundred ninety thousand".