83196748800 has 792 divisors, whose sum is σ = 344257778592. Its totient is φ = 18972672000.

The previous prime is 83196748799. The next prime is 83196748813. The reversal of 83196748800 is 884769138.

It is a tau number, because it is divible by the number of its divisors (792).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43083835 + ... + 43085765.

Almost surely, 2^83196748800 is an apocalyptic number.

83196748800 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 83196748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172128889296).

83196748800 is an abundant number, since it is smaller than the sum of its proper divisors (261061029792).

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

83196748800 is a wasteful number, since it uses less digits than its factorization.

83196748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1995 (or 1969 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 83196748800 in words is "eighty-three billion, one hundred ninety-six million, seven hundred forty-eight thousand, eight hundred".