96245694417600 has 3360 divisors, whose sum is σ = 448576705364480. Its totient is φ = 19816870993920.

The previous prime is 96245694417599. The next prime is 96245694417611. The reversal of 96245694417600 is 671449654269.

It is a happy number.

96245694417600 is a `hidden beast` number, since 9 + 6 + 2 + 4 + 5 + 6 + 9 + 4 + 4 + 17 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 85704090639 + ... + 85704091761.

Almost surely, 2^{96245694417600} is an apocalyptic number.

96245694417600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96245694417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224288352682240).

96245694417600 is an abundant number, since it is smaller than the sum of its proper divisors (352331010946880).

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

96245694417600 is a wasteful number, since it uses less digits than its factorization.

96245694417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 96245694417600 in words is "ninety-six trillion, two hundred forty-five billion, six hundred ninety-four million, four hundred seventeen thousand, six hundred".