96750485120 has 128 divisors (see below), whose sum is σ = 237007330560. Its totient is φ = 37749805056.

The previous prime is 96750485093. The next prime is 96750485123. The reversal of 96750485120 is 2158405769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (96750485123) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9229322 + ... + 9239798.

It is an arithmetic number, because the mean of its divisors is an integer number (1851619770).

Almost surely, 2^96750485120 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 96750485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118503665280).

96750485120 is an abundant number, since it is smaller than the sum of its proper divisors (140256845440).

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

96750485120 is a wasteful number, since it uses less digits than its factorization.

96750485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10850 (or 10838 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 47.

The spelling of 96750485120 in words is "ninety-six billion, seven hundred fifty million, four hundred eighty-five thousand, one hundred twenty".