84488840840800 has 144 divisors (see below), whose sum is σ = 225280586588400. Its totient is φ = 30686151628800.

The previous prime is 84488840840773. The next prime is 84488840840809. The reversal of 84488840840800 is 804804888448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84488840840809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1504486 + ... + 13085914.

It is an arithmetic number, because the mean of its divisors is an integer number (1564448517975).

Almost surely, 2^{84488840840800} is an apocalyptic number.

84488840840800 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 84488840840800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112640293294200).

84488840840800 is an abundant number, since it is smaller than the sum of its proper divisors (140791745747600).

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

84488840840800 is a wasteful number, since it uses less digits than its factorization.

84488840840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11582289 (or 11582276 counting only the distinct ones).

The product of its (nonzero) digits is 67108864, while the sum is 64.

The spelling of 84488840840800 in words is "eighty-four trillion, four hundred eighty-eight billion, eight hundred forty million, eight hundred forty thousand, eight hundred".