96093603840 has 384 divisors, whose sum is σ = 335834553600. Its totient is φ = 23313776640.

The previous prime is 96093603803. The next prime is 96093603857. The reversal of 96093603840 is 4830639069.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 96093603840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28352866 + ... + 28356254.

It is an arithmetic number, because the mean of its divisors is an integer number (874569150).

Almost surely, 2^96093603840 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 96093603840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167917276800).

96093603840 is an abundant number, since it is smaller than the sum of its proper divisors (239740949760).

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

96093603840 is a wasteful number, since it uses less digits than its factorization.

96093603840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3503 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The spelling of 96093603840 in words is "ninety-six billion, ninety-three million, six hundred three thousand, eight hundred forty".