96959172480 has 128 divisors (see below), whose sum is σ = 309161249280. Its totient is φ = 25847089152.

The previous prime is 96959172473. The next prime is 96959172521. The reversal of 96959172480 is 8427195969.

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

It is a super-3 number, since 3×96959172480³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7379677 + ... + 7392803.

It is an arithmetic number, because the mean of its divisors is an integer number (2415322260).

Almost surely, 2^96959172480 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 96959172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154580624640).

96959172480 is an abundant number, since it is smaller than the sum of its proper divisors (212202076800).

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

96959172480 is a wasteful number, since it uses less digits than its factorization.

96959172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16996 (or 16984 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 60.

The spelling of 96959172480 in words is "ninety-six billion, nine hundred fifty-nine million, one hundred seventy-two thousand, four hundred eighty".