84055326815040 has 672 divisors, whose sum is σ = 330361227820800. Its totient is φ = 17991589625856.

The previous prime is 84055326815029. The next prime is 84055326815069. The reversal of 84055326815040 is 4051862355048.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 158872222 + ... + 159400418.

Almost surely, 2^{84055326815040} is an apocalyptic number.

84055326815040 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 84055326815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165180613910400).

84055326815040 is an abundant number, since it is smaller than the sum of its proper divisors (246305901005760).

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

84055326815040 is a wasteful number, since it uses less digits than its factorization.

84055326815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528447 (or 528430 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 51.

The spelling of 84055326815040 in words is "eighty-four trillion, fifty-five billion, three hundred twenty-six million, eight hundred fifteen thousand, forty".