96766569000000 has 735 divisors, whose sum is σ = 358881786742611. Its totient is φ = 25780809600000.

The previous prime is 96766568999993. The next prime is 96766569000041. The reversal of 96766569000000 is 96566769.

The square root of 96766569000000 is 9837000.

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

96766569000000 is a `hidden beast` number, since 9 + 6 + 76 + 6 + 569 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 91359493102656 + 5407075897344 = 9558216^2 + 2325312^2 .

It is a super-2 number, since 2×96766569000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 88532999454 + ... + 88533000546.

Almost surely, 2^{96766569000000} is an apocalyptic number.

96766569000000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96766569000000 is the 9837000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96766569000000

96766569000000 is an abundant number, since it is smaller than the sum of its proper divisors (262115217742611).

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

96766569000000 is an frugal number, since it uses more digits than its factorization.

96766569000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 96766569000000 in words is "ninety-six trillion, seven hundred sixty-six billion, five hundred sixty-nine million", and thus it is an aban number.