96897854188800 has 3024 divisors, whose sum is σ = 421890580191360. Its totient is φ = 21567881871360.

The previous prime is 96897854188799. The next prime is 96897854188819. The reversal of 96897854188800 is 888145879869.

96897854188800 is a `hidden beast` number, since 9 + 68 + 9 + 7 + 8 + 541 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

It is a self number, because there is not a number n which added to its sum of digits gives 96897854188800.

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 335 ways as a sum of consecutive naturals, for example, 231259794991 + ... + 231259795409.

Almost surely, 2^{96897854188800} is an apocalyptic number.

96897854188800 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 96897854188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210945290095680).

96897854188800 is an abundant number, since it is smaller than the sum of its proper divisors (324992726002560).

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

96897854188800 is an equidigital number, since it uses as much as digits as its factorization.

96897854188800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 2229534720, while the sum is 81.

The spelling of 96897854188800 in words is "ninety-six trillion, eight hundred ninety-seven billion, eight hundred fifty-four million, one hundred eighty-eight thousand, eight hundred".