96795393180480 has 2688 divisors, whose sum is σ = 387587152281600. Its totient is φ = 22932401909760.

The previous prime is 96795393180467. The next prime is 96795393180481. The reversal of 96795393180480 is 8408139359769.

96795393180480 is a `hidden beast` number, since 9 + 6 + 7 + 9 + 5 + 39 + 31 + 80 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 96795393180399 and 96795393180408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96795393180481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 762168450177 + ... + 762168450303.

Almost surely, 2^{96795393180480} is an apocalyptic number.

96795393180480 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 96795393180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193793576140800).

96795393180480 is an abundant number, since it is smaller than the sum of its proper divisors (290791759101120).

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

96795393180480 is a wasteful number, since it uses less digits than its factorization.

96795393180480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 96795393180480 in words is "ninety-six trillion, seven hundred ninety-five billion, three hundred ninety-three million, one hundred eighty thousand, four hundred eighty".