96050102400 has 1536 divisors, whose sum is σ = 427401216000. Its totient is φ = 20603289600.

The previous prime is 96050102389. The next prime is 96050102411. The reversal of 96050102400 is 420105069.

96050102400 is a `hidden beast` number, since 9 + 605 + 0 + 10 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96050102389) and next prime (96050102411).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 191 ways as a sum of consecutive naturals, for example, 881193546 + ... + 881193654.

It is an arithmetic number, because the mean of its divisors is an integer number (278256000).

Almost surely, 2^96050102400 is an apocalyptic number.

96050102400 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 96050102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213700608000).

96050102400 is an abundant number, since it is smaller than the sum of its proper divisors (331351113600).

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

96050102400 is a wasteful number, since it uses less digits than its factorization.

96050102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 96050102400 its reverse (420105069), we get a palindrome (96470207469).

The spelling of 96050102400 in words is "ninety-six billion, fifty million, one hundred two thousand, four hundred".