83775861243360 has 768 divisors, whose sum is σ = 344552382720000. Its totient is φ = 18742941941760.

The previous prime is 83775861243299. The next prime is 83775861243377. The reversal of 83775861243360 is 6334216857738.

83775861243360 is a `hidden beast` number, since 8 + 3 + 7 + 7 + 5 + 8 + 612 + 4 + 3 + 3 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3483536616 + ... + 3483560664.

It is an arithmetic number, because the mean of its divisors is an integer number (448635915000).

Almost surely, 2^{83775861243360} is an apocalyptic number.

83775861243360 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 83775861243360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172276191360000).

83775861243360 is an abundant number, since it is smaller than the sum of its proper divisors (260776521476640).

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

83775861243360 is a wasteful number, since it uses less digits than its factorization.

83775861243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29736 (or 29722 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 83775861243360 in words is "eighty-three trillion, seven hundred seventy-five billion, eight hundred sixty-one million, two hundred forty-three thousand, three hundred sixty".