96282132714240 has 576 divisors, whose sum is σ = 337485657600000. Its totient is φ = 23200266240000.

The previous prime is 96282132714203. The next prime is 96282132714277. The reversal of 96282132714240 is 4241723128269.

It is an interprime number because it is at equal distance from previous prime (96282132714203) and next prime (96282132714277).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5290508661 + ... + 5290526859.

It is an arithmetic number, because the mean of its divisors is an integer number (585912600000).

Almost surely, 2^{96282132714240} 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 96282132714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168742828800000).

96282132714240 is an abundant number, since it is smaller than the sum of its proper divisors (241203524885760).

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

96282132714240 is a wasteful number, since it uses less digits than its factorization.

96282132714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18984 (or 18970 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 96282132714240 in words is "ninety-six trillion, two hundred eighty-two billion, one hundred thirty-two million, seven hundred fourteen thousand, two hundred forty".