96838317072 has 320 divisors, whose sum is σ = 327917107200. Its totient is φ = 26789875200.

The previous prime is 96838317061. The next prime is 96838317133. The reversal of 96838317072 is 27071383869.

96838317072 is a `hidden beast` number, since 96 + 8 + 383 + 170 + 7 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11949822 + ... + 11957922.

It is an arithmetic number, because the mean of its divisors is an integer number (1024740960).

Almost surely, 2^96838317072 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 96838317072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163958553600).

96838317072 is an abundant number, since it is smaller than the sum of its proper divisors (231078790128).

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

96838317072 is a wasteful number, since it uses less digits than its factorization.

96838317072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 96838317072 in words is "ninety-six billion, eight hundred thirty-eight million, three hundred seventeen thousand, seventy-two".