96813765216 has 192 divisors, whose sum is σ = 330218380800. Its totient is φ = 27017722368.

The previous prime is 96813765199. The next prime is 96813765253. The reversal of 96813765216 is 61256731869.

96813765216 is a `hidden beast` number, since 9 + 6 + 81 + 37 + 6 + 521 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73930 + ... + 446198.

It is an arithmetic number, because the mean of its divisors is an integer number (1719887400).

Almost surely, 2^96813765216 is an apocalyptic number.

96813765216 is a gapful number since it is divisible by the number (96) 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 96813765216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165109190400).

96813765216 is an abundant number, since it is smaller than the sum of its proper divisors (233404615584).

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

96813765216 is a wasteful number, since it uses less digits than its factorization.

96813765216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372338 (or 372324 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The spelling of 96813765216 in words is "ninety-six billion, eight hundred thirteen million, seven hundred sixty-five thousand, two hundred sixteen".