83686348800 has 720 divisors, whose sum is σ = 328465617480. Its totient is φ = 20985937920.

The previous prime is 83686348771. The next prime is 83686348813. The reversal of 83686348800 is 884368638.

It is a happy number.

83686348800 is a `hidden beast` number, since 83 + 6 + 86 + 3 + 488 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×83686348800² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 70501807 + ... + 70502993.

Almost surely, 2^83686348800 is an apocalyptic number.

83686348800 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 83686348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164232808740).

83686348800 is an abundant number, since it is smaller than the sum of its proper divisors (244779268680).

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

83686348800 is a wasteful number, since it uses less digits than its factorization.

83686348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 83686348800 in words is "eighty-three billion, six hundred eighty-six million, three hundred forty-eight thousand, eight hundred".