96728124430080 has 2880 divisors, whose sum is σ = 418924086755328. Its totient is φ = 20998872760320.

The previous prime is 96728124430043. The next prime is 96728124430109. The reversal of 96728124430080 is 8003442182769.

96728124430080 is a `hidden beast` number, since 9 + 6 + 7 + 2 + 8 + 124 + 430 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×96728124430080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 96728124429999 and 96728124430026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 88497826014 + ... + 88497827106.

Almost surely, 2^{96728124430080} is an apocalyptic number.

96728124430080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96728124430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209462043377664).

96728124430080 is an abundant number, since it is smaller than the sum of its proper divisors (322195962325248).

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

96728124430080 is a wasteful number, since it uses less digits than its factorization.

96728124430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1301 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 96728124430080 in words is "ninety-six trillion, seven hundred twenty-eight billion, one hundred twenty-four million, four hundred thirty thousand, eighty".