84408088800 has 288 divisors, whose sum is σ = 314417376000. Its totient is φ = 19267522560.

The previous prime is 84408088799. The next prime is 84408088841. The reversal of 84408088800 is 888080448.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 84408088800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14428276 + ... + 14434124.

It is an arithmetic number, because the mean of its divisors is an integer number (1091727000).

Almost surely, 2^84408088800 is an apocalyptic number.

84408088800 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 84408088800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688000).

84408088800 is an abundant number, since it is smaller than the sum of its proper divisors (230009287200).

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

84408088800 is a wasteful number, since it uses less digits than its factorization.

84408088800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6738 (or 6725 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 84408088800 in words is "eighty-four billion, four hundred eight million, eighty-eight thousand, eight hundred".