96709694054400 has 4032 divisors, whose sum is σ = 434804295744000. Its totient is φ = 20476046868480.

The previous prime is 96709694054383. The next prime is 96709694054401. The reversal of 96709694054400 is 445049690769.

96709694054400 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 96 + 94 + 0 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96709694054401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 997007155152 + ... + 997007155248.

It is an arithmetic number, because the mean of its divisors is an integer number (107838367000).

Almost surely, 2^{96709694054400} is an apocalyptic number.

96709694054400 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 96709694054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217402147872000).

96709694054400 is an abundant number, since it is smaller than the sum of its proper divisors (338094601689600).

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

96709694054400 is a wasteful number, since it uses less digits than its factorization.

96709694054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 96709694054400 in words is "ninety-six trillion, seven hundred nine billion, six hundred ninety-four million, fifty-four thousand, four hundred".