96488040600 has 288 divisors, whose sum is σ = 386432766720. Its totient is φ = 21095458560.

The previous prime is 96488040587. The next prime is 96488040673. The reversal of 96488040600 is 604088469.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123327 + ... + 456273.

It is an arithmetic number, because the mean of its divisors is an integer number (1341780440).

Almost surely, 2^96488040600 is an apocalyptic number.

96488040600 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 96488040600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193216383360).

96488040600 is an abundant number, since it is smaller than the sum of its proper divisors (289944726120).

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

96488040600 is a wasteful number, since it uses less digits than its factorization.

96488040600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332999 (or 332987 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 96488040600 in words is "ninety-six billion, four hundred eighty-eight million, forty thousand, six hundred".