96288312600 has 576 divisors, whose sum is σ = 350977536000. Its totient is φ = 24503731200.

The previous prime is 96288312587. The next prime is 96288312611. The reversal of 96288312600 is 621388269.

96288312600 is a `hidden beast` number, since 9 + 6 + 2 + 8 + 8 + 31 + 2 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 119020996 + ... + 119021804.

It is an arithmetic number, because the mean of its divisors is an integer number (609336000).

Almost surely, 2^96288312600 is an apocalyptic number.

96288312600 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 96288312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175488768000).

96288312600 is an abundant number, since it is smaller than the sum of its proper divisors (254689223400).

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

96288312600 is a wasteful number, since it uses less digits than its factorization.

96288312600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 96288312600 in words is "ninety-six billion, two hundred eighty-eight million, three hundred twelve thousand, six hundred".