84211724300 has 72 divisors (see below), whose sum is σ = 199850302512. Its totient is φ = 30545920000.

The previous prime is 84211724287. The next prime is 84211724339. The reversal of 84211724300 is 342711248.

It is a super-4 number, since 4×84211724300⁴ (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 345644 + ... + 536556.

It is an arithmetic number, because the mean of its divisors is an integer number (2775698646).

Almost surely, 2^84211724300 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 84211724300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99925151256).

84211724300 is an abundant number, since it is smaller than the sum of its proper divisors (115638578212).

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

84211724300 is a wasteful number, since it uses less digits than its factorization.

84211724300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191339 (or 191332 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The spelling of 84211724300 in words is "eighty-four billion, two hundred eleven million, seven hundred twenty-four thousand, three hundred".