83061273600 has 198 divisors, whose sum is σ = 297399479910. Its totient is φ = 22149611520.

The previous prime is 83061273599. The next prime is 83061273611. The reversal of 83061273600 is 637216038.

It is a happy number.

83061273600 is a `hidden beast` number, since 8 + 3 + 0 + 612 + 7 + 36 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 61968384 + 82999305216 = 7872^2 + 288096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 50146 + ... + 410654.

Almost surely, 2^83061273600 is an apocalyptic number.

83061273600 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 83061273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148699739955).

83061273600 is an abundant number, since it is smaller than the sum of its proper divisors (214338206310).

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

83061273600 is a wasteful number, since it uses less digits than its factorization.

83061273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360545 (or 360519 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 83061273600 its reverse (637216038), we get a palindrome (83698489638).

The spelling of 83061273600 in words is "eighty-three billion, sixty-one million, two hundred seventy-three thousand, six hundred".