83256238800 has 600 divisors, whose sum is σ = 349468126656. Its totient is φ = 18585262080.

The previous prime is 83256238799. The next prime is 83256238801. The reversal of 83256238800 is 883265238.

83256238800 is a `hidden beast` number, since 8 + 3 + 2 + 562 + 3 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (83256238799) and next prime (83256238801).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83256238801) 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, 9748132 + ... + 9756668.

Almost surely, 2^83256238800 is an apocalyptic number.

83256238800 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 83256238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174734063328).

83256238800 is an abundant number, since it is smaller than the sum of its proper divisors (266211887856).

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

83256238800 is a wasteful number, since it uses less digits than its factorization.

83256238800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8617 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83256238800 in words is "eighty-three billion, two hundred fifty-six million, two hundred thirty-eight thousand, eight hundred".