84008126104320 has 864 divisors, whose sum is σ = 312413275319040. Its totient is φ = 19170526003200.

The previous prime is 84008126104289. The next prime is 84008126104361. The reversal of 84008126104320 is 2340162180048.

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 95 ways as a sum of consecutive naturals, for example, 1385990815 + ... + 1386051425.

Almost surely, 2^{84008126104320} is an apocalyptic number.

84008126104320 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 84008126104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156206637659520).

84008126104320 is an abundant number, since it is smaller than the sum of its proper divisors (228405149214720).

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

84008126104320 is a wasteful number, since it uses less digits than its factorization.

84008126104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60833 (or 60808 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

Adding to 84008126104320 its reverse (2340162180048), we get a palindrome (86348288284368).

The spelling of 84008126104320 in words is "eighty-four trillion, eight billion, one hundred twenty-six million, one hundred four thousand, three hundred twenty".