96583687290000 has 2025 divisors, whose sum is σ = 375760644455911. Its totient is φ = 23146199040000.

The previous prime is 96583687289987. The next prime is 96583687290007. The reversal of 96583687290000 is 9278638569.

The square root of 96583687290000 is 9827700.

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

96583687290000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 69986810419344 + 26596876870656 = 8365812^2 + 5157216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 96583687290000.

It is not an unprimeable number, because it can be changed into a prime (96583687290007) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2054972069977 + ... + 2054972070023.

Almost surely, 2^{96583687290000} is an apocalyptic number.

96583687290000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96583687290000 is the 9827700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96583687290000

96583687290000 is an abundant number, since it is smaller than the sum of its proper divisors (279176957165911).

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

96583687290000 is a wasteful number, since it uses less digits than its factorization.

96583687290000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 96583687290000 in words is "ninety-six trillion, five hundred eighty-three billion, six hundred eighty-seven million, two hundred ninety thousand".