96892332248160 has 384 divisors, whose sum is σ = 340686407617920. Its totient is φ = 25718921625600.

The previous prime is 96892332248143. The next prime is 96892332248183. The reversal of 96892332248160 is 6184223329869.

It is a happy number.

96892332248160 is a `hidden beast` number, since 9 + 6 + 8 + 92 + 3 + 3 + 2 + 2 + 481 + 60 = 666.

It is a congruent number.

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, 3604477920 + ... + 3604504800.

It is an arithmetic number, because the mean of its divisors is an integer number (887204186505).

Almost surely, 2^{96892332248160} is an apocalyptic number.

96892332248160 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 96892332248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170343203808960).

96892332248160 is an abundant number, since it is smaller than the sum of its proper divisors (243794075369760).

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

96892332248160 is a wasteful number, since it uses less digits than its factorization.

96892332248160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30719 (or 30705 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 96892332248160 in words is "ninety-six trillion, eight hundred ninety-two billion, three hundred thirty-two million, two hundred forty-eight thousand, one hundred sixty".