93409812840 has 128 divisors (see below), whose sum is σ = 283488796800. Its totient is φ = 24620682240.

The previous prime is 93409812829. The next prime is 93409812893. The reversal of 93409812840 is 4821890439.

It is a super-3 number, since 3×93409812840³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 93409812840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5498199 + ... + 5515161.

It is an arithmetic number, because the mean of its divisors is an integer number (2214756225).

Almost surely, 2^93409812840 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 93409812840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141744398400).

93409812840 is an abundant number, since it is smaller than the sum of its proper divisors (190078983960).

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

93409812840 is a wasteful number, since it uses less digits than its factorization.

93409812840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17507 (or 17503 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 93409812840 in words is "ninety-three billion, four hundred nine million, eight hundred twelve thousand, eight hundred forty".