93112975872 has 400 divisors, whose sum is σ = 325408672512. Its totient is φ = 25951518720.

The previous prime is 93112975817. The next prime is 93112975919. The reversal of 93112975872 is 27857921139.

It is a happy number.

93112975872 is a `hidden beast` number, since 9 + 31 + 1 + 29 + 7 + 587 + 2 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 11898553 + ... + 11906375.

Almost surely, 2^93112975872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93112975872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162704336256).

93112975872 is an abundant number, since it is smaller than the sum of its proper divisors (232295696640).

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

93112975872 is an equidigital number, since it uses as much as digits as its factorization.

93112975872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7901 (or 7876 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 54.

It can be divided in two parts, 931129 and 75872, that added together give a palindrome (1007001).

The spelling of 93112975872 in words is "ninety-three billion, one hundred twelve million, nine hundred seventy-five thousand, eight hundred seventy-two".