916280084200 has 192 divisors, whose sum is σ = 2358224064000. Its totient is φ = 328896599040.

The previous prime is 916280084171. The next prime is 916280084219. The reversal of 916280084200 is 2480082619.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138428491 + ... + 138435109.

It is an arithmetic number, because the mean of its divisors is an integer number (12282417000).

Almost surely, 2^916280084200 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 916280084200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179112032000).

916280084200 is an abundant number, since it is smaller than the sum of its proper divisors (1441943979800).

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

916280084200 is a wasteful number, since it uses less digits than its factorization.

916280084200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8124 (or 8115 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 916280084200 in words is "nine hundred sixteen billion, two hundred eighty million, eighty-four thousand, two hundred".