84549927973056 has 336 divisors, whose sum is σ = 281502645064704. Its totient is φ = 22198879954944.

The previous prime is 84549927973001. The next prime is 84549927973099. The reversal of 84549927973056 is 65037972994548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25723771 + ... + 28823813.

It is an arithmetic number, because the mean of its divisors is an integer number (837805491264).

Almost surely, 2^{84549927973056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84549927973056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140751322532352).

84549927973056 is an abundant number, since it is smaller than the sum of its proper divisors (196952717091648).

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

84549927973056 is a wasteful number, since it uses less digits than its factorization.

84549927973056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100308 (or 3100291 counting only the distinct ones).

The product of its (nonzero) digits is 4115059200, while the sum is 78.

The spelling of 84549927973056 in words is "eighty-four trillion, five hundred forty-nine billion, nine hundred twenty-seven million, nine hundred seventy-three thousand, fifty-six".