83818573555680 has 288 divisors, whose sum is σ = 292159704380544. Its totient is φ = 21872828694528.

The previous prime is 83818573555649. The next prime is 83818573555697. The reversal of 83818573555680 is 8655537581838.

83818573555680 is a `hidden beast` number, since 8 + 3 + 8 + 1 + 8 + 5 + 7 + 3 + 55 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 83818573555599 and 83818573555608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477530014 + ... + 477705506.

It is an arithmetic number, because the mean of its divisors is an integer number (1014443417988).

Almost surely, 2^{83818573555680} is an apocalyptic number.

83818573555680 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 83818573555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146079852190272).

83818573555680 is an abundant number, since it is smaller than the sum of its proper divisors (208341130824864).

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

83818573555680 is a wasteful number, since it uses less digits than its factorization.

83818573555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182618 (or 182607 counting only the distinct ones).

The product of its (nonzero) digits is 967680000, while the sum is 72.

The spelling of 83818573555680 in words is "eighty-three trillion, eight hundred eighteen billion, five hundred seventy-three million, five hundred fifty-five thousand, six hundred eighty".