93825473760 has 144 divisors (see below), whose sum is σ = 320284692000. Its totient is φ = 25011901440.

The previous prime is 93825473759. The next prime is 93825473773. The reversal of 93825473760 is 6737452839.

93825473760 is a `hidden beast` number, since 9 + 3 + 8 + 2 + 547 + 37 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 93825473697 and 93825473706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5277366 + ... + 5295114.

It is an arithmetic number, because the mean of its divisors is an integer number (2224199250).

Almost surely, 2^93825473760 is an apocalyptic number.

93825473760 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 93825473760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160142346000).

93825473760 is an abundant number, since it is smaller than the sum of its proper divisors (226459218240).

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

93825473760 is a wasteful number, since it uses less digits than its factorization.

93825473760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21441 (or 21430 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 93825473760 in words is "ninety-three billion, eight hundred twenty-five million, four hundred seventy-three thousand, seven hundred sixty".