96135440244480 has 3456 divisors, whose sum is σ = 437931674578944. Its totient is φ = 18919194624000.

The previous prime is 96135440244439. The next prime is 96135440244497. The reversal of 96135440244480 is 8444204453169.

96135440244480 is a `hidden beast` number, since 9 + 6 + 1 + 354 + 4 + 0 + 244 + 48 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 239739252280 + ... + 239739252680.

It is an arithmetic number, because the mean of its divisors is an integer number (126716341024).

Almost surely, 2^{96135440244480} is an apocalyptic number.

96135440244480 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 96135440244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218965837289472).

96135440244480 is an abundant number, since it is smaller than the sum of its proper divisors (341796234334464).

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

96135440244480 is a wasteful number, since it uses less digits than its factorization.

96135440244480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 96135440244480 in words is "ninety-six trillion, one hundred thirty-five billion, four hundred forty million, two hundred forty-four thousand, four hundred eighty".