96934389552 has 960 divisors, whose sum is σ = 392894853120. Its totient is φ = 22469529600.

The previous prime is 96934389529. The next prime is 96934389557. The reversal of 96934389552 is 25598343969.

96934389552 is a `hidden beast` number, since 9 + 69 + 3 + 438 + 95 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96934389552.

It is not an unprimeable number, because it can be changed into a prime (96934389557) 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 191 ways as a sum of consecutive naturals, for example, 93837228 + ... + 93838260.

It is an arithmetic number, because the mean of its divisors is an integer number (409265472).

Almost surely, 2^96934389552 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 96934389552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196447426560).

96934389552 is an abundant number, since it is smaller than the sum of its proper divisors (295960463568).

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

96934389552 is a wasteful number, since it uses less digits than its factorization.

96934389552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1100 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The spelling of 96934389552 in words is "ninety-six billion, nine hundred thirty-four million, three hundred eighty-nine thousand, five hundred fifty-two".