96983748000 has 864 divisors, whose sum is σ = 371492739072. Its totient is φ = 23925888000.

The previous prime is 96983747999. The next prime is 96983748013. The reversal of 96983748000 is 84738969.

It is a super-2 number, since 2×96983748000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2063483977 + ... + 2063484023.

It is an arithmetic number, because the mean of its divisors is an integer number (429968448).

Almost surely, 2^96983748000 is an apocalyptic number.

96983748000 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 96983748000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185746369536).

96983748000 is an abundant number, since it is smaller than the sum of its proper divisors (274508991072).

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

96983748000 is a wasteful number, since it uses less digits than its factorization.

96983748000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 96983748000 in words is "ninety-six billion, nine hundred eighty-three million, seven hundred forty-eight thousand".