96891940454400 has 2880 divisors, whose sum is σ = 448515115417600. Its totient is φ = 19958794813440.

The previous prime is 96891940454371. The next prime is 96891940454461. The reversal of 96891940454400 is 445404919869.

96891940454400 is a `hidden beast` number, since 9 + 6 + 8 + 91 + 94 + 0 + 4 + 54 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 43274648481 + ... + 43274650719.

Almost surely, 2^{96891940454400} is an apocalyptic number.

96891940454400 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 96891940454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224257557708800).

96891940454400 is an abundant number, since it is smaller than the sum of its proper divisors (351623174963200).

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

96891940454400 is a wasteful number, since it uses less digits than its factorization.

96891940454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 96891940454400 in words is "ninety-six trillion, eight hundred ninety-one billion, nine hundred forty million, four hundred fifty-four thousand, four hundred".