93300394320 has 480 divisors, whose sum is σ = 378486311040. Its totient is φ = 21323844864.

The previous prime is 93300394303. The next prime is 93300394337. The reversal of 93300394320 is 2349300339.

It is an interprime number because it is at equal distance from previous prime (93300394303) and next prime (93300394337).

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8567599 + ... + 8578481.

It is an arithmetic number, because the mean of its divisors is an integer number (788513148).

Almost surely, 2^93300394320 is an apocalyptic number.

93300394320 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 93300394320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189243155520).

93300394320 is an abundant number, since it is smaller than the sum of its proper divisors (285185916720).

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

93300394320 is a wasteful number, since it uses less digits than its factorization.

93300394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10931 (or 10900 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

Adding to 93300394320 its reverse (2349300339), we get a palindrome (95649694659).

The spelling of 93300394320 in words is "ninety-three billion, three hundred million, three hundred ninety-four thousand, three hundred twenty".