84008404880000 has 160 divisors (see below), whose sum is σ = 209888723999460. Its totient is φ = 33482041344000.

The previous prime is 84008404879943. The next prime is 84008404880063. The reversal of 84008404880000 is 8840480048.

It can be written as a sum of positive squares in 10 ways, for example, as 38113633293376 + 45894771586624 = 6173624^2 + 6774568^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20264504 + ... + 24055496.

Almost surely, 2^{84008404880000} is an apocalyptic number.

84008404880000 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 84008404880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104944361999730).

84008404880000 is an abundant number, since it is smaller than the sum of its proper divisors (125880319119460).

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

84008404880000 is an equidigital number, since it uses as much as digits as its factorization.

84008404880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3791304 (or 3791277 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 84008404880000 in words is "eighty-four trillion, eight billion, four hundred four million, eight hundred eighty thousand".