83915716500 has 960 divisors, whose sum is σ = 347052625920. Its totient is φ = 17146080000.

The previous prime is 83915716477. The next prime is 83915716501. The reversal of 83915716500 is 561751938.

It is a happy number.

83915716500 is a `hidden beast` number, since 8 + 3 + 91 + 57 + 1 + 6 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83915716501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 221413311 + ... + 221413689.

It is an arithmetic number, because the mean of its divisors is an integer number (361513152).

Almost surely, 2^83915716500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83915716500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173526312960).

83915716500 is an abundant number, since it is smaller than the sum of its proper divisors (263136909420).

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

83915716500 is a wasteful number, since it uses less digits than its factorization.

83915716500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 83915716500 in words is "eighty-three billion, nine hundred fifteen million, seven hundred sixteen thousand, five hundred".