93287013120 has 720 divisors, whose sum is σ = 403977043008. Its totient is φ = 20065812480.

The previous prime is 93287013109. The next prime is 93287013133. The reversal of 93287013120 is 2131078239.

It is a tau number, because it is divible by the number of its divisors (720).

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 79 ways as a sum of consecutive naturals, for example, 12334140 + ... + 12341700.

Almost surely, 2^93287013120 is an apocalyptic number.

93287013120 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 93287013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201988521504).

93287013120 is an abundant number, since it is smaller than the sum of its proper divisors (310690029888).

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

93287013120 is a wasteful number, since it uses less digits than its factorization.

93287013120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7618 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 93287013120 in words is "ninety-three billion, two hundred eighty-seven million, thirteen thousand, one hundred twenty".