96828715694592 has 480 divisors, whose sum is σ = 333660743095680. Its totient is φ = 26446875033600.

The previous prime is 96828715694587. The next prime is 96828715694597. The reversal of 96828715694592 is 29549651782869.

96828715694592 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 8 + 7 + 1 + 569 + 45 + 9 + 2 = 666.

96828715694592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (96828715694587) and next prime (96828715694597).

It is not an unprimeable number, because it can be changed into a prime (96828715694597) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93965383 + ... + 94990265.

It is an arithmetic number, because the mean of its divisors is an integer number (695126548116).

Almost surely, 2^{96828715694592} 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 96828715694592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166830371547840).

96828715694592 is an abundant number, since it is smaller than the sum of its proper divisors (236832027401088).

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

96828715694592 is a wasteful number, since it uses less digits than its factorization.

96828715694592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025044 (or 1025025 counting only the distinct ones).

The product of its digits is 4702924800, while the sum is 81.

The spelling of 96828715694592 in words is "ninety-six trillion, eight hundred twenty-eight billion, seven hundred fifteen million, six hundred ninety-four thousand, five hundred ninety-two".