93109904334720 has 4096 divisors, whose sum is σ = 452851015680000. Its totient is φ = 17885327523840.

The previous prime is 93109904334709. The next prime is 93109904334757. The reversal of 93109904334720 is 2743340990139.

It is a happy number.

93109904334720 is a `hidden beast` number, since 93 + 10 + 9 + 90 + 433 + 4 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 40606149894 + ... + 40606152186.

It is an arithmetic number, because the mean of its divisors is an integer number (110559330000).

Almost surely, 2^{93109904334720} is an apocalyptic number.

93109904334720 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 93109904334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226425507840000).

93109904334720 is an abundant number, since it is smaller than the sum of its proper divisors (359741111345280).

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

93109904334720 is a wasteful number, since it uses less digits than its factorization.

93109904334720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 93109904334720 in words is "ninety-three trillion, one hundred nine billion, nine hundred four million, three hundred thirty-four thousand, seven hundred twenty".