96257177268 has 96 divisors (see below), whose sum is σ = 261649833984. Its totient is φ = 26970672768.

The previous prime is 96257177267. The next prime is 96257177287. The reversal of 96257177268 is 86277175269.

It is a super-3 number, since 3×96257177268³ (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96257177267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14096071 + ... + 14102897.

It is an arithmetic number, because the mean of its divisors is an integer number (2725519104).

Almost surely, 2^96257177268 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 96257177268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130824916992).

96257177268 is an abundant number, since it is smaller than the sum of its proper divisors (165392656716).

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

96257177268 is a wasteful number, since it uses less digits than its factorization.

96257177268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10061 (or 10059 counting only the distinct ones).

The product of its digits is 17781120, while the sum is 60.

The spelling of 96257177268 in words is "ninety-six billion, two hundred fifty-seven million, one hundred seventy-seven thousand, two hundred sixty-eight".