93426520320 has 1296 divisors, whose sum is σ = 410033594880. Its totient is φ = 19508428800.

The previous prime is 93426520309. The next prime is 93426520337. The reversal of 93426520320 is 2302562439.

It is a happy number.

93426520320 is a `hidden beast` number, since 9 + 3 + 426 + 5 + 203 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 332478580 + ... + 332478860.

Almost surely, 2^93426520320 is an apocalyptic number.

93426520320 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 93426520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205016797440).

93426520320 is an abundant number, since it is smaller than the sum of its proper divisors (316607074560).

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

93426520320 is a wasteful number, since it uses less digits than its factorization.

93426520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 93426520320 in words is "ninety-three billion, four hundred twenty-six million, five hundred twenty thousand, three hundred twenty".