96007388368896 has 195 divisors, whose sum is σ = 286818735218763. Its totient is φ = 32000581509120.

The previous prime is 96007388368799. The next prime is 96007388368921. The reversal of 96007388368896 is 69886388370069.

The square root of 96007388368896 is 9798336.

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

96007388368896 is a `hidden beast` number, since 96 + 0 + 0 + 7 + 3 + 88 + 368 + 8 + 96 = 666.

96007388368896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

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 14 ways as a sum of consecutive naturals, for example, 5643833031 + ... + 5643850041.

Almost surely, 2^{96007388368896} is an apocalyptic number.

96007388368896 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

96007388368896 is the 9798336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96007388368896

96007388368896 is an abundant number, since it is smaller than the sum of its proper divisors (190811346849867).

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

96007388368896 is an frugal number, since it uses more digits than its factorization.

96007388368896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34058 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

96007388368896 divided by its sum of digits (81) gives a square (1185276399616 = 1088704²).

The spelling of 96007388368896 in words is "ninety-six trillion, seven billion, three hundred eighty-eight million, three hundred sixty-eight thousand, eight hundred ninety-six".