84008715840000 has 2400 divisors, whose sum is σ = 378022759994880. Its totient is φ = 18189121536000.

The previous prime is 84008715839987. The next prime is 84008715840031. The reversal of 84008715840000 is 4851780048.

It is a tau number, because it is divible by the number of its divisors (2400).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 10342075939 + ... + 10342084061.

Almost surely, 2^{84008715840000} is an apocalyptic number.

84008715840000 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 84008715840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189011379997440).

84008715840000 is an abundant number, since it is smaller than the sum of its proper divisors (294014044154880).

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

84008715840000 is an frugal number, since it uses more digits than its factorization.

84008715840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8202 (or 8159 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 84008715840000 in words is "eighty-four trillion, eight billion, seven hundred fifteen million, eight hundred forty thousand".