96335038800 has 2880 divisors, whose sum is σ = 500617958400. Its totient is φ = 17244057600.

The previous prime is 96335038799. The next prime is 96335038801. The reversal of 96335038800 is 883053369.

96335038800 is a `hidden beast` number, since 9 + 63 + 3 + 503 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96335038799) and next prime (96335038801).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96335038801) by changing a digit.

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 575 ways as a sum of consecutive naturals, for example, 1437836367 + ... + 1437836433.

It is an arithmetic number, because the mean of its divisors is an integer number (173825680).

Almost surely, 2^96335038800 is an apocalyptic number.

96335038800 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 96335038800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250308979200).

96335038800 is an abundant number, since it is smaller than the sum of its proper divisors (404282919600).

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

96335038800 is a wasteful number, since it uses less digits than its factorization.

96335038800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 96335038800 in words is "ninety-six billion, three hundred thirty-five million, thirty-eight thousand, eight hundred".