83517849360 has 600 divisors, whose sum is σ = 329921305560. Its totient is φ = 19543265280.

The previous prime is 83517849353. The next prime is 83517849361. The reversal of 83517849360 is 6394871538.

83517849360 is a `hidden beast` number, since 83 + 5 + 1 + 78 + 493 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 407878416 + 83109970944 = 20196^2 + 288288^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83517849297 and 83517849306.

It is not an unprimeable number, because it can be changed into a prime (83517849361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 22736484 + ... + 22740156.

Almost surely, 2^83517849360 is an apocalyptic number.

83517849360 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 83517849360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164960652780).

83517849360 is an abundant number, since it is smaller than the sum of its proper divisors (246403456200).

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

83517849360 is a wasteful number, since it uses less digits than its factorization.

83517849360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3749 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 83517849360 in words is "eighty-three billion, five hundred seventeen million, eight hundred forty-nine thousand, three hundred sixty".