83566080000 has 1300 divisors, whose sum is σ = 346777845568. Its totient is φ = 19906560000.

The previous prime is 83566079939. The next prime is 83566080001. The reversal of 83566080000 is 8066538.

It is a tau number, because it is divible by the number of its divisors (1300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83566080001) by changing a digit.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 2695679985 + ... + 2695680015.

Almost surely, 2^83566080000 is an apocalyptic number.

83566080000 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 83566080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173388922784).

83566080000 is an abundant number, since it is smaller than the sum of its proper divisors (263211765568).

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

83566080000 is an equidigital number, since it uses as much as digits as its factorization.

83566080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 83566080000 in words is "eighty-three billion, five hundred sixty-six million, eighty thousand".