96544741800 has 384 divisors, whose sum is σ = 347571504000. Its totient is φ = 21963571200.

The previous prime is 96544741771. The next prime is 96544741807. The reversal of 96544741800 is 814744569.

It is a self number, because there is not a number n which added to its sum of digits gives 96544741800.

It is not an unprimeable number, because it can be changed into a prime (96544741807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6068256 + ... + 6084144.

It is an arithmetic number, because the mean of its divisors is an integer number (905134125).

Almost surely, 2^96544741800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96544741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173785752000).

96544741800 is an abundant number, since it is smaller than the sum of its proper divisors (251026762200).

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

96544741800 is a wasteful number, since it uses less digits than its factorization.

96544741800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15981 (or 15972 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 96544741800 in words is "ninety-six billion, five hundred forty-four million, seven hundred forty-one thousand, eight hundred".