83580381360 has 400 divisors, whose sum is σ = 349221100800. Its totient is φ = 18098422272.

The previous prime is 83580381307. The next prime is 83580381361. The reversal of 83580381360 is 6318308538.

83580381360 is a `hidden beast` number, since 8 + 3 + 580 + 3 + 8 + 1 + 3 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (83580381361) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 813351 + ... + 910329.

It is an arithmetic number, because the mean of its divisors is an integer number (873052752).

Almost surely, 2^83580381360 is an apocalyptic number.

83580381360 is a gapful number since it is divisible by the number (80) 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 83580381360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174610550400).

83580381360 is an abundant number, since it is smaller than the sum of its proper divisors (265640719440).

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

83580381360 is a wasteful number, since it uses less digits than its factorization.

83580381360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97030 (or 97015 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Adding to 83580381360 its reverse (6318308538), we get a palindrome (89898689898).

The spelling of 83580381360 in words is "eighty-three billion, five hundred eighty million, three hundred eighty-one thousand, three hundred sixty".