83683561920 has 224 divisors, whose sum is σ = 304158993408. Its totient is φ = 19095724032.

The previous prime is 83683561889. The next prime is 83683561933. The reversal of 83683561920 is 2916538638.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4136149 + ... + 4156331.

Almost surely, 2^83683561920 is an apocalyptic number.

83683561920 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 83683561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152079496704).

83683561920 is an abundant number, since it is smaller than the sum of its proper divisors (220475431488).

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

83683561920 is a wasteful number, since it uses less digits than its factorization.

83683561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20827 (or 20817 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 83683561920 in words is "eighty-three billion, six hundred eighty-three million, five hundred sixty-one thousand, nine hundred twenty".