83716416000 has 960 divisors, whose sum is σ = 357834597120. Its totient is φ = 19110297600.

The previous prime is 83716415999. The next prime is 83716416031. The reversal of 83716416000 is 61461738.

83716416000 is a `hidden beast` number, since 8 + 3 + 7 + 1 + 6 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863616 + ... + 108864384.

It is an arithmetic number, because the mean of its divisors is an integer number (372744372).

Almost surely, 2^83716416000 is an apocalyptic number.

83716416000 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 83716416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178917298560).

83716416000 is an abundant number, since it is smaller than the sum of its proper divisors (274118181120).

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

83716416000 is an frugal number, since it uses more digits than its factorization.

83716416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 83716416000 its reverse (61461738), we get a palindrome (83777877738).

The spelling of 83716416000 in words is "eighty-three billion, seven hundred sixteen million, four hundred sixteen thousand".