96666251414400 has 288 divisors, whose sum is σ = 365217182974800. Its totient is φ = 24261333565440.

The previous prime is 96666251414351. The next prime is 96666251414401. The reversal of 96666251414400 is 441415266669.

96666251414400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96666251414401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 98230020 + ... + 99209219.

Almost surely, 2^{96666251414400} is an apocalyptic number.

96666251414400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

96666251414400 is an abundant number, since it is smaller than the sum of its proper divisors (268550931560400).

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

96666251414400 is a wasteful number, since it uses less digits than its factorization.

96666251414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197439286 (or 197439266 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 96666251414400 in words is "ninety-six trillion, six hundred sixty-six billion, two hundred fifty-one million, four hundred fourteen thousand, four hundred".