84084880880880 has 320 divisors, whose sum is σ = 315983290775040. Its totient is φ = 20382408345600.

The previous prime is 84084880880839. The next prime is 84084880880941. The reversal of 84084880880880 is 8808808848048.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84084880880799 and 84084880880808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 278577724 + ... + 278879396.

It is an arithmetic number, because the mean of its divisors is an integer number (987447783672).

Almost surely, 2^{84084880880880} is an apocalyptic number.

84084880880880 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 84084880880880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157991645387520).

84084880880880 is an abundant number, since it is smaller than the sum of its proper divisors (231898409894160).

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

84084880880880 is a wasteful number, since it uses less digits than its factorization.

84084880880880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313437 (or 313425 counting only the distinct ones).

The product of its (nonzero) digits is 268435456, while the sum is 72.

The spelling of 84084880880880 in words is "eighty-four trillion, eighty-four billion, eight hundred eighty million, eight hundred eighty thousand, eight hundred eighty".