96411829800 has 768 divisors, whose sum is σ = 362289312000. Its totient is φ = 21026304000.

The previous prime is 96411829793. The next prime is 96411829817. The reversal of 96411829800 is 892811469.

It is a self number, because there is not a number n which added to its sum of digits gives 96411829800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 884512146 + ... + 884512254.

It is an arithmetic number, because the mean of its divisors is an integer number (471730875).

Almost surely, 2^96411829800 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 96411829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181144656000).

96411829800 is an abundant number, since it is smaller than the sum of its proper divisors (265877482200).

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

96411829800 is a wasteful number, since it uses less digits than its factorization.

96411829800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 96411829800 in words is "ninety-six billion, four hundred eleven million, eight hundred twenty-nine thousand, eight hundred".