93056221440 has 1080 divisors, whose sum is σ = 417426027480. Its totient is φ = 19619905536.

The previous prime is 93056221429. The next prime is 93056221459. The reversal of 93056221440 is 4412265039.

It is a happy number.

93056221440 is a `hidden beast` number, since 9 + 30 + 562 + 21 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4032758016 + 89023463424 = 63504^2 + 298368^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 93056221395 and 93056221404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66043456 + ... + 66044864.

It is an arithmetic number, because the mean of its divisors is an integer number (386505581).

Almost surely, 2^93056221440 is an apocalyptic number.

93056221440 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 93056221440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208713013740).

93056221440 is an abundant number, since it is smaller than the sum of its proper divisors (324369806040).

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

93056221440 is a wasteful number, since it uses less digits than its factorization.

93056221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 93056221440 its reverse (4412265039), we get a palindrome (97468486479).

The spelling of 93056221440 in words is "ninety-three billion, fifty-six million, two hundred twenty-one thousand, four hundred forty".