96896786112 has 672 divisors, whose sum is σ = 358683763200. Its totient is φ = 25055889408.

The previous prime is 96896786057. The next prime is 96896786141. The reversal of 96896786112 is 21168769869.

96896786112 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 6 + 7 + 8 + 611 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96896786112.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121576498 + ... + 121577294.

It is an arithmetic number, because the mean of its divisors is an integer number (533755600).

Almost surely, 2^96896786112 is an apocalyptic number.

96896786112 is a gapful number since it is divisible by the number (92) 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 96896786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179341881600).

96896786112 is an abundant number, since it is smaller than the sum of its proper divisors (261786977088).

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

96896786112 is a wasteful number, since it uses less digits than its factorization.

96896786112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 851 counting only the distinct ones).

The product of its digits is 15676416, while the sum is 63.

The spelling of 96896786112 in words is "ninety-six billion, eight hundred ninety-six million, seven hundred eighty-six thousand, one hundred twelve".