93085885428480 has 1512 divisors, whose sum is σ = 391875402253104. Its totient is φ = 21112997068800.

The previous prime is 93085885428479. The next prime is 93085885428493. The reversal of 93085885428480 is 8482458858039.

It is a happy number.

93085885428480 is a `hidden beast` number, since 9 + 3 + 0 + 85 + 8 + 85 + 428 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×93085885428480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 93085885428399 and 93085885428408.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5989689510 + ... + 5989705050.

It is an arithmetic number, because the mean of its divisors is an integer number (259176853342).

Almost surely, 2^{93085885428480} is an apocalyptic number.

93085885428480 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 93085885428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195937701126552).

93085885428480 is an abundant number, since it is smaller than the sum of its proper divisors (298789516824624).

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

93085885428480 is a wasteful number, since it uses less digits than its factorization.

93085885428480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15725 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 707788800, while the sum is 72.

The spelling of 93085885428480 in words is "ninety-three trillion, eighty-five billion, eight hundred eighty-five million, four hundred twenty-eight thousand, four hundred eighty".