96934838400 has 672 divisors, whose sum is σ = 378093620400. Its totient is φ = 24488801280.

The previous prime is 96934838327. The next prime is 96934838447. The reversal of 96934838400 is 483843969.

It is a happy number.

It is a super-2 number, since 2×96934838400² (a number of 23 digits) contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5101833591 + ... + 5101833609.

Almost surely, 2^96934838400 is an apocalyptic number.

96934838400 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 96934838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189046810200).

96934838400 is an abundant number, since it is smaller than the sum of its proper divisors (281158782000).

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

96934838400 is an frugal number, since it uses more digits than its factorization.

96934838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 96934838400 in words is "ninety-six billion, nine hundred thirty-four million, eight hundred thirty-eight thousand, four hundred".