93525442560 has 816 divisors, whose sum is σ = 374842088640. Its totient is φ = 21941452800.

The previous prime is 93525442487. The next prime is 93525442579. The reversal of 93525442560 is 6524452539.

93525442560 is a `hidden beast` number, since 9 + 3 + 52 + 544 + 2 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3016949745 + ... + 3016949775.

Almost surely, 2^93525442560 is an apocalyptic number.

93525442560 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 93525442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187421044320).

93525442560 is an abundant number, since it is smaller than the sum of its proper divisors (281316646080).

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

93525442560 is an equidigital number, since it uses as much as digits as its factorization.

93525442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 93525442560 in words is "ninety-three billion, five hundred twenty-five million, four hundred forty-two thousand, five hundred sixty".