93420081540 has 168 divisors, whose sum is σ = 294376264728. Its totient is φ = 24891909120.

The previous prime is 93420081529. The next prime is 93420081541. The reversal of 93420081540 is 4518002439.

93420081540 is a `hidden beast` number, since 9 + 34 + 2 + 0 + 0 + 81 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 93184888644 = 15336^2 + 305262^2 .

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 = 93420081495 and 93420081504.

It is not an unprimeable number, because it can be changed into a prime (93420081541) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 29931180 + ... + 29934300.

It is an arithmetic number, because the mean of its divisors is an integer number (1752239671).

Almost surely, 2^93420081540 is an apocalyptic number.

93420081540 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 93420081540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147188132364).

93420081540 is an abundant number, since it is smaller than the sum of its proper divisors (200956183188).

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

93420081540 is a wasteful number, since it uses less digits than its factorization.

93420081540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5201 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 93420081540 its reverse (4518002439), we get a palindrome (97938083979).

The spelling of 93420081540 in words is "ninety-three billion, four hundred twenty million, eighty-one thousand, five hundred forty".