93801093120 has 768 divisors, whose sum is σ = 403624166400. Its totient is φ = 20171980800.

The previous prime is 93801093077. The next prime is 93801093143. The reversal of 93801093120 is 2139010839.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×93801093120² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 32899695 + ... + 32902545.

It is an arithmetic number, because the mean of its divisors is an integer number (525552300).

Almost surely, 2^93801093120 is an apocalyptic number.

93801093120 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 93801093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201812083200).

93801093120 is an abundant number, since it is smaller than the sum of its proper divisors (309823073280).

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

93801093120 is a wasteful number, since it uses less digits than its factorization.

93801093120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

It can be divided in two parts, 9380 and 1093120, that added together give a square (1102500 = 1050²).

The spelling of 93801093120 in words is "ninety-three billion, eight hundred one million, ninety-three thousand, one hundred twenty".