84871842854400 has 5760 divisors, whose sum is σ = 402782905958400. Its totient is φ = 17382010060800.

The previous prime is 84871842854387. The next prime is 84871842854453. The reversal of 84871842854400 is 445824817848.

84871842854400 is a `hidden beast` number, since 8 + 4 + 8 + 7 + 1 + 84 + 2 + 8 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 668282227137 + ... + 668282227263.

It is an arithmetic number, because the mean of its divisors is an integer number (69927587840).

Almost surely, 2^{84871842854400} is an apocalyptic number.

84871842854400 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 84871842854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201391452979200).

84871842854400 is an abundant number, since it is smaller than the sum of its proper divisors (317911063104000).

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

84871842854400 is a wasteful number, since it uses less digits than its factorization.

84871842854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 73400320, while the sum is 63.

The spelling of 84871842854400 in words is "eighty-four trillion, eight hundred seventy-one billion, eight hundred forty-two million, eight hundred fifty-four thousand, four hundred".