83563920000 has 640 divisors, whose sum is σ = 336301099200. Its totient is φ = 20252160000.

The previous prime is 83563919963. The next prime is 83563920001. The reversal of 83563920000 is 2936538.

83563920000 is a `hidden beast` number, since 8 + 3 + 563 + 92 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (83563920001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23758242 + ... + 23761758.

Almost surely, 2^83563920000 is an apocalyptic number.

83563920000 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 83563920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168150549600).

83563920000 is an abundant number, since it is smaller than the sum of its proper divisors (252737179200).

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

83563920000 is a wasteful number, since it uses less digits than its factorization.

83563920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3571 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 83563920000 in words is "eighty-three billion, five hundred sixty-three million, nine hundred twenty thousand".