96123893040 has 240 divisors, whose sum is σ = 372516538368. Its totient is φ = 21757745664.

The previous prime is 96123893017. The next prime is 96123893059. The reversal of 96123893040 is 4039832169.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 426537 + ... + 611703.

Almost surely, 2^96123893040 is an apocalyptic number.

96123893040 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 96123893040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186258269184).

96123893040 is an abundant number, since it is smaller than the sum of its proper divisors (276392645328).

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

96123893040 is a wasteful number, since it uses less digits than its factorization.

96123893040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185296 (or 185287 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 96123893040 in words is "ninety-six billion, one hundred twenty-three million, eight hundred ninety-three thousand, forty".